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Finding the Fourth Proportional to 68.40, 101.52 and 65.16

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Solution

The fourth proportional to 68.40, 101.52 and 65.16 is: 96.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 101.52 = 65.16 : x
  2. Step 2: Convert to fraction form
    68.40/101.52 = 65.16/x
  3. Step 3: Cross multiply
    68.40x = 101.52 × 65.16
  4. Step 4: Simplify right side
    68.40x = 6,615.04
  5. Step 5: Solve for x
    x = 6,615.04/68.40
  6. Step 6: Final answer
    x = 96.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.