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Finding the Fourth Proportional to 71.57, 107.24 and 58.77

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Solution

The fourth proportional to 71.57, 107.24 and 58.77 is: 88.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.57 : 107.24 = 58.77 : x
  2. Step 2: Convert to fraction form
    71.57/107.24 = 58.77/x
  3. Step 3: Cross multiply
    71.57x = 107.24 × 58.77
  4. Step 4: Simplify right side
    71.57x = 6,302.20
  5. Step 5: Solve for x
    x = 6,302.20/71.57
  6. Step 6: Final answer
    x = 88.05

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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.