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Finding the Fourth Proportional to 58.52, 87.59 and 38.16

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Solution

The fourth proportional to 58.52, 87.59 and 38.16 is: 57.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.52 : 87.59 = 38.16 : x
  2. Step 2: Convert to fraction form
    58.52/87.59 = 38.16/x
  3. Step 3: Cross multiply
    58.52x = 87.59 × 38.16
  4. Step 4: Simplify right side
    58.52x = 3,342.43
  5. Step 5: Solve for x
    x = 3,342.43/58.52
  6. Step 6: Final answer
    x = 57.12

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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.