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Finding the Fourth Proportional to 58.10, 87.13 and 31.04

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Solution

The fourth proportional to 58.10, 87.13 and 31.04 is: 46.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.10 : 87.13 = 31.04 : x
  2. Step 2: Convert to fraction form
    58.10/87.13 = 31.04/x
  3. Step 3: Cross multiply
    58.10x = 87.13 × 31.04
  4. Step 4: Simplify right side
    58.10x = 2,704.52
  5. Step 5: Solve for x
    x = 2,704.52/58.10
  6. Step 6: Final answer
    x = 46.55

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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.