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Finding the Fourth Proportional to 75.72, 112.65 and 75.46

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Solution

The fourth proportional to 75.72, 112.65 and 75.46 is: 112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 112.65 = 75.46 : x
  2. Step 2: Convert to fraction form
    75.72/112.65 = 75.46/x
  3. Step 3: Cross multiply
    75.72x = 112.65 × 75.46
  4. Step 4: Simplify right side
    75.72x = 8,500.57
  5. Step 5: Solve for x
    x = 8,500.57/75.72
  6. Step 6: Final answer
    x = 112.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.