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Finding the Fourth Proportional to 109.84, 151.65 and 100.59

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Solution

The fourth proportional to 109.84, 151.65 and 100.59 is: 138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 151.65 = 100.59 : x
  2. Step 2: Convert to fraction form
    109.84/151.65 = 100.59/x
  3. Step 3: Cross multiply
    109.84x = 151.65 × 100.59
  4. Step 4: Simplify right side
    109.84x = 15,254.47
  5. Step 5: Solve for x
    x = 15,254.47/109.84
  6. Step 6: Final answer
    x = 138.88

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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.