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Finding the Fourth Proportional to 100.77, 139.19 and 71.79

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Solution

The fourth proportional to 100.77, 139.19 and 71.79 is: 99.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 139.19 = 71.79 : x
  2. Step 2: Convert to fraction form
    100.77/139.19 = 71.79/x
  3. Step 3: Cross multiply
    100.77x = 139.19 × 71.79
  4. Step 4: Simplify right side
    100.77x = 9,992.45
  5. Step 5: Solve for x
    x = 9,992.45/100.77
  6. Step 6: Final answer
    x = 99.16

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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.