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Finding the Fourth Proportional to 132.02, 197.51 and 101.64

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Solution

The fourth proportional to 132.02, 197.51 and 101.64 is: 152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 197.51 = 101.64 : x
  2. Step 2: Convert to fraction form
    132.02/197.51 = 101.64/x
  3. Step 3: Cross multiply
    132.02x = 197.51 × 101.64
  4. Step 4: Simplify right side
    132.02x = 20,074.41
  5. Step 5: Solve for x
    x = 20,074.41/132.02
  6. Step 6: Final answer
    x = 152.06

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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.