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Finding the Fourth Proportional to 75.77, 113.75 and 60.74

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Solution

The fourth proportional to 75.77, 113.75 and 60.74 is: 91.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.77 : 113.75 = 60.74 : x
  2. Step 2: Convert to fraction form
    75.77/113.75 = 60.74/x
  3. Step 3: Cross multiply
    75.77x = 113.75 × 60.74
  4. Step 4: Simplify right side
    75.77x = 6,909.18
  5. Step 5: Solve for x
    x = 6,909.18/75.77
  6. Step 6: Final answer
    x = 91.19

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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.