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Finding the Fourth Proportional to 74.97, 103.54 and 51.72

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Solution

The fourth proportional to 74.97, 103.54 and 51.72 is: 71.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.97 : 103.54 = 51.72 : x
  2. Step 2: Convert to fraction form
    74.97/103.54 = 51.72/x
  3. Step 3: Cross multiply
    74.97x = 103.54 × 51.72
  4. Step 4: Simplify right side
    74.97x = 5,354.81
  5. Step 5: Solve for x
    x = 5,354.81/74.97
  6. Step 6: Final answer
    x = 71.42

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