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Finding the Fourth Proportional to 74.76, 112.18 and 56.70

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Solution

The fourth proportional to 74.76, 112.18 and 56.70 is: 85.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 112.18 = 56.70 : x
  2. Step 2: Convert to fraction form
    74.76/112.18 = 56.70/x
  3. Step 3: Cross multiply
    74.76x = 112.18 × 56.70
  4. Step 4: Simplify right side
    74.76x = 6,360.61
  5. Step 5: Solve for x
    x = 6,360.61/74.76
  6. Step 6: Final answer
    x = 85.08

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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.