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Finding the Fourth Proportional to 124.40, 186.32 and 101.52

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Solution

The fourth proportional to 124.40, 186.32 and 101.52 is: 152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.40 : 186.32 = 101.52 : x
  2. Step 2: Convert to fraction form
    124.40/186.32 = 101.52/x
  3. Step 3: Cross multiply
    124.40x = 186.32 × 101.52
  4. Step 4: Simplify right side
    124.40x = 18,915.21
  5. Step 5: Solve for x
    x = 18,915.21/124.40
  6. Step 6: Final answer
    x = 152.05

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