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Finding the Fourth Proportional to 103.52, 155.04 and 99.06

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Solution

The fourth proportional to 103.52, 155.04 and 99.06 is: 148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 155.04 = 99.06 : x
  2. Step 2: Convert to fraction form
    103.52/155.04 = 99.06/x
  3. Step 3: Cross multiply
    103.52x = 155.04 × 99.06
  4. Step 4: Simplify right side
    103.52x = 15,358.26
  5. Step 5: Solve for x
    x = 15,358.26/103.52
  6. Step 6: Final answer
    x = 148.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.