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Finding the Fourth Proportional to 58.16, 87.40 and 37.92

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Solution

The fourth proportional to 58.16, 87.40 and 37.92 is: 56.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.16 : 87.40 = 37.92 : x
  2. Step 2: Convert to fraction form
    58.16/87.40 = 37.92/x
  3. Step 3: Cross multiply
    58.16x = 87.40 × 37.92
  4. Step 4: Simplify right side
    58.16x = 3,314.21
  5. Step 5: Solve for x
    x = 3,314.21/58.16
  6. Step 6: Final answer
    x = 56.98

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Why These Related Problems?

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