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Finding the Fourth Proportional to 74.69, 102.98 and 71.72

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Solution

The fourth proportional to 74.69, 102.98 and 71.72 is: 98.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.69 : 102.98 = 71.72 : x
  2. Step 2: Convert to fraction form
    74.69/102.98 = 71.72/x
  3. Step 3: Cross multiply
    74.69x = 102.98 × 71.72
  4. Step 4: Simplify right side
    74.69x = 7,385.37
  5. Step 5: Solve for x
    x = 7,385.37/74.69
  6. Step 6: Final answer
    x = 98.88

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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.