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Finding the Fourth Proportional to 132.86, 200.10 and 101.02

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Solution

The fourth proportional to 132.86, 200.10 and 101.02 is: 152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.86 : 200.10 = 101.02 : x
  2. Step 2: Convert to fraction form
    132.86/200.10 = 101.02/x
  3. Step 3: Cross multiply
    132.86x = 200.10 × 101.02
  4. Step 4: Simplify right side
    132.86x = 20,214.10
  5. Step 5: Solve for x
    x = 20,214.10/132.86
  6. Step 6: Final answer
    x = 152.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.