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Finding the Fourth Proportional to 70.92, 105.72 and 65.16

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Solution

The fourth proportional to 70.92, 105.72 and 65.16 is: 97.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.92 : 105.72 = 65.16 : x
  2. Step 2: Convert to fraction form
    70.92/105.72 = 65.16/x
  3. Step 3: Cross multiply
    70.92x = 105.72 × 65.16
  4. Step 4: Simplify right side
    70.92x = 6,888.72
  5. Step 5: Solve for x
    x = 6,888.72/70.92
  6. Step 6: Final answer
    x = 97.13

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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.