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Finding the Fourth Proportional to 58.85, 81.20 and 38.16

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Solution

The fourth proportional to 58.85, 81.20 and 38.16 is: 52.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.85 : 81.20 = 38.16 : x
  2. Step 2: Convert to fraction form
    58.85/81.20 = 38.16/x
  3. Step 3: Cross multiply
    58.85x = 81.20 × 38.16
  4. Step 4: Simplify right side
    58.85x = 3,098.10
  5. Step 5: Solve for x
    x = 3,098.10/58.85
  6. Step 6: Final answer
    x = 52.64

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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.