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Finding the Fourth Proportional to 109.78, 151.65 and 100.06

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Solution

The fourth proportional to 109.78, 151.65 and 100.06 is: 138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 151.65 = 100.06 : x
  2. Step 2: Convert to fraction form
    109.78/151.65 = 100.06/x
  3. Step 3: Cross multiply
    109.78x = 151.65 × 100.06
  4. Step 4: Simplify right side
    109.78x = 15,174.10
  5. Step 5: Solve for x
    x = 15,174.10/109.78
  6. Step 6: Final answer
    x = 138.22

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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.