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Finding the Fourth Proportional to 75.02, 112.38 and 71.78

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Solution

The fourth proportional to 75.02, 112.38 and 71.78 is: 107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 112.38 = 71.78 : x
  2. Step 2: Convert to fraction form
    75.02/112.38 = 71.78/x
  3. Step 3: Cross multiply
    75.02x = 112.38 × 71.78
  4. Step 4: Simplify right side
    75.02x = 8,066.64
  5. Step 5: Solve for x
    x = 8,066.64/75.02
  6. Step 6: Final answer
    x = 107.53

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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.