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Finding the Fourth Proportional to 110.42, 152.42 and 77.31

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Solution

The fourth proportional to 110.42, 152.42 and 77.31 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.42 : 152.42 = 77.31 : x
  2. Step 2: Convert to fraction form
    110.42/152.42 = 77.31/x
  3. Step 3: Cross multiply
    110.42x = 152.42 × 77.31
  4. Step 4: Simplify right side
    110.42x = 11,783.20
  5. Step 5: Solve for x
    x = 11,783.20/110.42
  6. Step 6: Final answer
    x = 106.72

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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.