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Finding the Fourth Proportional to 55.32, 76.24 and 52.18

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Solution

The fourth proportional to 55.32, 76.24 and 52.18 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.32 : 76.24 = 52.18 : x
  2. Step 2: Convert to fraction form
    55.32/76.24 = 52.18/x
  3. Step 3: Cross multiply
    55.32x = 76.24 × 52.18
  4. Step 4: Simplify right side
    55.32x = 3,978.08
  5. Step 5: Solve for x
    x = 3,978.08/55.32
  6. Step 6: Final answer
    x = 71.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.