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Finding the Fourth Proportional to 75.76, 113 and 71.48

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Solution

The fourth proportional to 75.76, 113 and 71.48 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 113 = 71.48 : x
  2. Step 2: Convert to fraction form
    75.76/113 = 71.48/x
  3. Step 3: Cross multiply
    75.76x = 113 × 71.48
  4. Step 4: Simplify right side
    75.76x = 8,077.24
  5. Step 5: Solve for x
    x = 8,077.24/75.76
  6. Step 6: Final answer
    x = 106.62

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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.