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Finding the Fourth Proportional to 74.71, 102.77 and 65.33

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Solution

The fourth proportional to 74.71, 102.77 and 65.33 is: 89.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 102.77 = 65.33 : x
  2. Step 2: Convert to fraction form
    74.71/102.77 = 65.33/x
  3. Step 3: Cross multiply
    74.71x = 102.77 × 65.33
  4. Step 4: Simplify right side
    74.71x = 6,714.33
  5. Step 5: Solve for x
    x = 6,714.33/74.71
  6. Step 6: Final answer
    x = 89.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.