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Finding the Fourth Proportional to 106.72, 147.06 and 99.70

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Solution

The fourth proportional to 106.72, 147.06 and 99.70 is: 137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.72 : 147.06 = 99.70 : x
  2. Step 2: Convert to fraction form
    106.72/147.06 = 99.70/x
  3. Step 3: Cross multiply
    106.72x = 147.06 × 99.70
  4. Step 4: Simplify right side
    106.72x = 14,661.88
  5. Step 5: Solve for x
    x = 14,661.88/106.72
  6. Step 6: Final answer
    x = 137.39

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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.