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Finding the Fourth Proportional to 70.18, 96.86 and 41.08

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Solution

The fourth proportional to 70.18, 96.86 and 41.08 is: 56.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.18 : 96.86 = 41.08 : x
  2. Step 2: Convert to fraction form
    70.18/96.86 = 41.08/x
  3. Step 3: Cross multiply
    70.18x = 96.86 × 41.08
  4. Step 4: Simplify right side
    70.18x = 3,979.01
  5. Step 5: Solve for x
    x = 3,979.01/70.18
  6. Step 6: Final answer
    x = 56.70

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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.