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Finding the Fourth Proportional to 58.55, 87.82 and 46.60

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Solution

The fourth proportional to 58.55, 87.82 and 46.60 is: 69.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.55 : 87.82 = 46.60 : x
  2. Step 2: Convert to fraction form
    58.55/87.82 = 46.60/x
  3. Step 3: Cross multiply
    58.55x = 87.82 × 46.60
  4. Step 4: Simplify right side
    58.55x = 4,092.08
  5. Step 5: Solve for x
    x = 4,092.08/58.55
  6. Step 6: Final answer
    x = 69.90

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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.