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Finding the Fourth Proportional to 75.71, 112.75 and 74.77

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Solution

The fourth proportional to 75.71, 112.75 and 74.77 is: 111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.71 : 112.75 = 74.77 : x
  2. Step 2: Convert to fraction form
    75.71/112.75 = 74.77/x
  3. Step 3: Cross multiply
    75.71x = 112.75 × 74.77
  4. Step 4: Simplify right side
    75.71x = 8,429.75
  5. Step 5: Solve for x
    x = 8,429.75/75.71
  6. Step 6: Final answer
    x = 111.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.