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Finding the Fourth Proportional to 74.77, 112.27 and 64.74

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Solution

The fourth proportional to 74.77, 112.27 and 64.74 is: 97.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.77 : 112.27 = 64.74 : x
  2. Step 2: Convert to fraction form
    74.77/112.27 = 64.74/x
  3. Step 3: Cross multiply
    74.77x = 112.27 × 64.74
  4. Step 4: Simplify right side
    74.77x = 7,268.62
  5. Step 5: Solve for x
    x = 7,268.62/74.77
  6. Step 6: Final answer
    x = 97.22

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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.