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Finding the Fourth Proportional to 68.19, 101.69 and 64.49

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Solution

The fourth proportional to 68.19, 101.69 and 64.49 is: 96.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 101.69 = 64.49 : x
  2. Step 2: Convert to fraction form
    68.19/101.69 = 64.49/x
  3. Step 3: Cross multiply
    68.19x = 101.69 × 64.49
  4. Step 4: Simplify right side
    68.19x = 6,557.16
  5. Step 5: Solve for x
    x = 6,557.16/68.19
  6. Step 6: Final answer
    x = 96.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.