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Finding the Fourth Proportional to 106.88, 147.30 and 102.02

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Solution

The fourth proportional to 106.88, 147.30 and 102.02 is: 140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 147.30 = 102.02 : x
  2. Step 2: Convert to fraction form
    106.88/147.30 = 102.02/x
  3. Step 3: Cross multiply
    106.88x = 147.30 × 102.02
  4. Step 4: Simplify right side
    106.88x = 15,027.55
  5. Step 5: Solve for x
    x = 15,027.55/106.88
  6. Step 6: Final answer
    x = 140.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.