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Finding the Fourth Proportional to 100.02, 148.82 and 94.55

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Solution

The fourth proportional to 100.02, 148.82 and 94.55 is: 140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 148.82 = 94.55 : x
  2. Step 2: Convert to fraction form
    100.02/148.82 = 94.55/x
  3. Step 3: Cross multiply
    100.02x = 148.82 × 94.55
  4. Step 4: Simplify right side
    100.02x = 14,072.11
  5. Step 5: Solve for x
    x = 14,072.11/100.02
  6. Step 6: Final answer
    x = 140.69

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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.