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Finding the Fourth Proportional to 74.68, 112.10 and 56.84

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Solution

The fourth proportional to 74.68, 112.10 and 56.84 is: 85.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 112.10 = 56.84 : x
  2. Step 2: Convert to fraction form
    74.68/112.10 = 56.84/x
  3. Step 3: Cross multiply
    74.68x = 112.10 × 56.84
  4. Step 4: Simplify right side
    74.68x = 6,371.76
  5. Step 5: Solve for x
    x = 6,371.76/74.68
  6. Step 6: Final answer
    x = 85.32

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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.