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Finding the Fourth Proportional to 74.71, 110.65 and 73.90

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Solution

The fourth proportional to 74.71, 110.65 and 73.90 is: 109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 110.65 = 73.90 : x
  2. Step 2: Convert to fraction form
    74.71/110.65 = 73.90/x
  3. Step 3: Cross multiply
    74.71x = 110.65 × 73.90
  4. Step 4: Simplify right side
    74.71x = 8,177.04
  5. Step 5: Solve for x
    x = 8,177.04/74.71
  6. Step 6: Final answer
    x = 109.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.