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Finding the Fourth Proportional to 58.26, 87.20 and 42

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Solution

The fourth proportional to 58.26, 87.20 and 42 is: 62.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.26 : 87.20 = 42 : x
  2. Step 2: Convert to fraction form
    58.26/87.20 = 42/x
  3. Step 3: Cross multiply
    58.26x = 87.20 × 42
  4. Step 4: Simplify right side
    58.26x = 3,662.40
  5. Step 5: Solve for x
    x = 3,662.40/58.26
  6. Step 6: Final answer
    x = 62.86

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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.