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Finding the Fourth Proportional to 75.64, 113.32 and 61.12

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Solution

The fourth proportional to 75.64, 113.32 and 61.12 is: 91.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 113.32 = 61.12 : x
  2. Step 2: Convert to fraction form
    75.64/113.32 = 61.12/x
  3. Step 3: Cross multiply
    75.64x = 113.32 × 61.12
  4. Step 4: Simplify right side
    75.64x = 6,926.12
  5. Step 5: Solve for x
    x = 6,926.12/75.64
  6. Step 6: Final answer
    x = 91.57

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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.