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Finding the Fourth Proportional to 100.78, 138.98 and 78.91

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Solution

The fourth proportional to 100.78, 138.98 and 78.91 is: 108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 138.98 = 78.91 : x
  2. Step 2: Convert to fraction form
    100.78/138.98 = 78.91/x
  3. Step 3: Cross multiply
    100.78x = 138.98 × 78.91
  4. Step 4: Simplify right side
    100.78x = 10,966.76
  5. Step 5: Solve for x
    x = 10,966.76/100.78
  6. Step 6: Final answer
    x = 108.82

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