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Finding the Fourth Proportional to 58.67, 88.11 and 38.42

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Solution

The fourth proportional to 58.67, 88.11 and 38.42 is: 57.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.67 : 88.11 = 38.42 : x
  2. Step 2: Convert to fraction form
    58.67/88.11 = 38.42/x
  3. Step 3: Cross multiply
    58.67x = 88.11 × 38.42
  4. Step 4: Simplify right side
    58.67x = 3,385.19
  5. Step 5: Solve for x
    x = 3,385.19/58.67
  6. Step 6: Final answer
    x = 57.70

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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.