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Finding the Fourth Proportional to 124.32, 185.92 and 88.16

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Solution

The fourth proportional to 124.32, 185.92 and 88.16 is: 131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 185.92 = 88.16 : x
  2. Step 2: Convert to fraction form
    124.32/185.92 = 88.16/x
  3. Step 3: Cross multiply
    124.32x = 185.92 × 88.16
  4. Step 4: Simplify right side
    124.32x = 16,390.71
  5. Step 5: Solve for x
    x = 16,390.71/124.32
  6. Step 6: Final answer
    x = 131.84

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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.