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Finding the Fourth Proportional to 58.57, 87.66 and 41.35

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Solution

The fourth proportional to 58.57, 87.66 and 41.35 is: 61.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.57 : 87.66 = 41.35 : x
  2. Step 2: Convert to fraction form
    58.57/87.66 = 41.35/x
  3. Step 3: Cross multiply
    58.57x = 87.66 × 41.35
  4. Step 4: Simplify right side
    58.57x = 3,624.74
  5. Step 5: Solve for x
    x = 3,624.74/58.57
  6. Step 6: Final answer
    x = 61.89

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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.