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Finding the Fourth Proportional to 109.55, 151.38 and 78.42

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Solution

The fourth proportional to 109.55, 151.38 and 78.42 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.55 : 151.38 = 78.42 : x
  2. Step 2: Convert to fraction form
    109.55/151.38 = 78.42/x
  3. Step 3: Cross multiply
    109.55x = 151.38 × 78.42
  4. Step 4: Simplify right side
    109.55x = 11,871.22
  5. Step 5: Solve for x
    x = 11,871.22/109.55
  6. Step 6: Final answer
    x = 108.36

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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.