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Finding the Fourth Proportional to 75.67, 112.90 and 64.71

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Solution

The fourth proportional to 75.67, 112.90 and 64.71 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.67 : 112.90 = 64.71 : x
  2. Step 2: Convert to fraction form
    75.67/112.90 = 64.71/x
  3. Step 3: Cross multiply
    75.67x = 112.90 × 64.71
  4. Step 4: Simplify right side
    75.67x = 7,305.76
  5. Step 5: Solve for x
    x = 7,305.76/75.67
  6. Step 6: Final answer
    x = 96.55

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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.