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Finding the Fourth Proportional to 58.76, 88.17 and 24.56

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Solution

The fourth proportional to 58.76, 88.17 and 24.56 is: 36.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.76 : 88.17 = 24.56 : x
  2. Step 2: Convert to fraction form
    58.76/88.17 = 24.56/x
  3. Step 3: Cross multiply
    58.76x = 88.17 × 24.56
  4. Step 4: Simplify right side
    58.76x = 2,165.46
  5. Step 5: Solve for x
    x = 2,165.46/58.76
  6. Step 6: Final answer
    x = 36.85

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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.