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Finding the Fourth Proportional to 70.68, 97.02 and 65.16

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Solution

The fourth proportional to 70.68, 97.02 and 65.16 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.68 : 97.02 = 65.16 : x
  2. Step 2: Convert to fraction form
    70.68/97.02 = 65.16/x
  3. Step 3: Cross multiply
    70.68x = 97.02 × 65.16
  4. Step 4: Simplify right side
    70.68x = 6,321.82
  5. Step 5: Solve for x
    x = 6,321.82/70.68
  6. Step 6: Final answer
    x = 89.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.