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Finding the Fourth Proportional to 67.04, 101.12 and 67.04

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Solution

The fourth proportional to 67.04, 101.12 and 67.04 is: 101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.04 : 101.12 = 67.04 : x
  2. Step 2: Convert to fraction form
    67.04/101.12 = 67.04/x
  3. Step 3: Cross multiply
    67.04x = 101.12 × 67.04
  4. Step 4: Simplify right side
    67.04x = 6,779.08
  5. Step 5: Solve for x
    x = 6,779.08/67.04
  6. Step 6: Final answer
    x = 101.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.