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Finding the Fourth Proportional to 75.72, 112.74 and 74.91

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Solution

The fourth proportional to 75.72, 112.74 and 74.91 is: 111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 112.74 = 74.91 : x
  2. Step 2: Convert to fraction form
    75.72/112.74 = 74.91/x
  3. Step 3: Cross multiply
    75.72x = 112.74 × 74.91
  4. Step 4: Simplify right side
    75.72x = 8,445.35
  5. Step 5: Solve for x
    x = 8,445.35/75.72
  6. Step 6: Final answer
    x = 111.53

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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.