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Finding the Fourth Proportional to 70.24, 104.86 and 61.13

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Solution

The fourth proportional to 70.24, 104.86 and 61.13 is: 91.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 104.86 = 61.13 : x
  2. Step 2: Convert to fraction form
    70.24/104.86 = 61.13/x
  3. Step 3: Cross multiply
    70.24x = 104.86 × 61.13
  4. Step 4: Simplify right side
    70.24x = 6,409.26
  5. Step 5: Solve for x
    x = 6,409.26/70.24
  6. Step 6: Final answer
    x = 91.25

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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.