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Finding the Fourth Proportional to 95.01, 142.61 and 49.38

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Solution

The fourth proportional to 95.01, 142.61 and 49.38 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.01 : 142.61 = 49.38 : x
  2. Step 2: Convert to fraction form
    95.01/142.61 = 49.38/x
  3. Step 3: Cross multiply
    95.01x = 142.61 × 49.38
  4. Step 4: Simplify right side
    95.01x = 7,041.83
  5. Step 5: Solve for x
    x = 7,041.83/95.01
  6. Step 6: Final answer
    x = 74.12

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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.