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Finding the Fourth Proportional to 96.05, 142.98 and 95.53

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Solution

The fourth proportional to 96.05, 142.98 and 95.53 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 142.98 = 95.53 : x
  2. Step 2: Convert to fraction form
    96.05/142.98 = 95.53/x
  3. Step 3: Cross multiply
    96.05x = 142.98 × 95.53
  4. Step 4: Simplify right side
    96.05x = 13,658.57
  5. Step 5: Solve for x
    x = 13,658.57/96.05
  6. Step 6: Final answer
    x = 142.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.