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Finding the Fourth Proportional to 97.38, 145.71 and 75.78

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Solution

The fourth proportional to 97.38, 145.71 and 75.78 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 145.71 = 75.78 : x
  2. Step 2: Convert to fraction form
    97.38/145.71 = 75.78/x
  3. Step 3: Cross multiply
    97.38x = 145.71 × 75.78
  4. Step 4: Simplify right side
    97.38x = 11,041.90
  5. Step 5: Solve for x
    x = 11,041.90/97.38
  6. Step 6: Final answer
    x = 113.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.