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Finding the Fourth Proportional to 75.41, 112.57 and 64.61

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Solution

The fourth proportional to 75.41, 112.57 and 64.61 is: 96.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.41 : 112.57 = 64.61 : x
  2. Step 2: Convert to fraction form
    75.41/112.57 = 64.61/x
  3. Step 3: Cross multiply
    75.41x = 112.57 × 64.61
  4. Step 4: Simplify right side
    75.41x = 7,273.15
  5. Step 5: Solve for x
    x = 7,273.15/75.41
  6. Step 6: Final answer
    x = 96.45

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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.