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Finding the Fourth Proportional to 100.47, 138.48 and 79.71

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Solution

The fourth proportional to 100.47, 138.48 and 79.71 is: 109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.47 : 138.48 = 79.71 : x
  2. Step 2: Convert to fraction form
    100.47/138.48 = 79.71/x
  3. Step 3: Cross multiply
    100.47x = 138.48 × 79.71
  4. Step 4: Simplify right side
    100.47x = 11,038.48
  5. Step 5: Solve for x
    x = 11,038.48/100.47
  6. Step 6: Final answer
    x = 109.87

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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.