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Finding the Fourth Proportional to 95.27, 142.95 and 46.58

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Solution

The fourth proportional to 95.27, 142.95 and 46.58 is: 69.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.27 : 142.95 = 46.58 : x
  2. Step 2: Convert to fraction form
    95.27/142.95 = 46.58/x
  3. Step 3: Cross multiply
    95.27x = 142.95 × 46.58
  4. Step 4: Simplify right side
    95.27x = 6,658.61
  5. Step 5: Solve for x
    x = 6,658.61/95.27
  6. Step 6: Final answer
    x = 69.89

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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.