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Finding the Fourth Proportional to 102.12, 152.08 and 99.60

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Solution

The fourth proportional to 102.12, 152.08 and 99.60 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.12 : 152.08 = 99.60 : x
  2. Step 2: Convert to fraction form
    102.12/152.08 = 99.60/x
  3. Step 3: Cross multiply
    102.12x = 152.08 × 99.60
  4. Step 4: Simplify right side
    102.12x = 15,147.17
  5. Step 5: Solve for x
    x = 15,147.17/102.12
  6. Step 6: Final answer
    x = 148.33

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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.