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Finding the Fourth Proportional to 100.12, 149.10 and 97.60

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Solution

The fourth proportional to 100.12, 149.10 and 97.60 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.12 : 149.10 = 97.60 : x
  2. Step 2: Convert to fraction form
    100.12/149.10 = 97.60/x
  3. Step 3: Cross multiply
    100.12x = 149.10 × 97.60
  4. Step 4: Simplify right side
    100.12x = 14,552.16
  5. Step 5: Solve for x
    x = 14,552.16/100.12
  6. Step 6: Final answer
    x = 145.35

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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.