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Finding the Fourth Proportional to 99.62, 148.41 and 95.95

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Solution

The fourth proportional to 99.62, 148.41 and 95.95 is: 142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.62 : 148.41 = 95.95 : x
  2. Step 2: Convert to fraction form
    99.62/148.41 = 95.95/x
  3. Step 3: Cross multiply
    99.62x = 148.41 × 95.95
  4. Step 4: Simplify right side
    99.62x = 14,239.53
  5. Step 5: Solve for x
    x = 14,239.53/99.62
  6. Step 6: Final answer
    x = 142.94

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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.