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Finding the Fourth Proportional to 95.11, 142.54 and 40.93

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Solution

The fourth proportional to 95.11, 142.54 and 40.93 is: 61.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.11 : 142.54 = 40.93 : x
  2. Step 2: Convert to fraction form
    95.11/142.54 = 40.93/x
  3. Step 3: Cross multiply
    95.11x = 142.54 × 40.93
  4. Step 4: Simplify right side
    95.11x = 5,834.16
  5. Step 5: Solve for x
    x = 5,834.16/95.11
  6. Step 6: Final answer
    x = 61.34

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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.