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Finding the Fourth Proportional to 101.32, 152.16 and 83.32

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Solution

The fourth proportional to 101.32, 152.16 and 83.32 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.32 : 152.16 = 83.32 : x
  2. Step 2: Convert to fraction form
    101.32/152.16 = 83.32/x
  3. Step 3: Cross multiply
    101.32x = 152.16 × 83.32
  4. Step 4: Simplify right side
    101.32x = 12,677.97
  5. Step 5: Solve for x
    x = 12,677.97/101.32
  6. Step 6: Final answer
    x = 125.13

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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.