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Finding the Fourth Proportional to 132.96, 199.53 and 101.10

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Solution

The fourth proportional to 132.96, 199.53 and 101.10 is: 151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 199.53 = 101.10 : x
  2. Step 2: Convert to fraction form
    132.96/199.53 = 101.10/x
  3. Step 3: Cross multiply
    132.96x = 199.53 × 101.10
  4. Step 4: Simplify right side
    132.96x = 20,172.48
  5. Step 5: Solve for x
    x = 20,172.48/132.96
  6. Step 6: Final answer
    x = 151.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.