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Finding the Fourth Proportional to 58.66, 87.97 and 24.43

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Solution

The fourth proportional to 58.66, 87.97 and 24.43 is: 36.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.66 : 87.97 = 24.43 : x
  2. Step 2: Convert to fraction form
    58.66/87.97 = 24.43/x
  3. Step 3: Cross multiply
    58.66x = 87.97 × 24.43
  4. Step 4: Simplify right side
    58.66x = 2,149.11
  5. Step 5: Solve for x
    x = 2,149.11/58.66
  6. Step 6: Final answer
    x = 36.64

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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.