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Finding the Fourth Proportional to 72.74, 108.56 and 69.10

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Solution

The fourth proportional to 72.74, 108.56 and 69.10 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.74 : 108.56 = 69.10 : x
  2. Step 2: Convert to fraction form
    72.74/108.56 = 69.10/x
  3. Step 3: Cross multiply
    72.74x = 108.56 × 69.10
  4. Step 4: Simplify right side
    72.74x = 7,501.50
  5. Step 5: Solve for x
    x = 7,501.50/72.74
  6. Step 6: Final answer
    x = 103.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.