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Finding the Fourth Proportional to 67.04, 92.50 and 42.14

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Solution

The fourth proportional to 67.04, 92.50 and 42.14 is: 58.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.04 : 92.50 = 42.14 : x
  2. Step 2: Convert to fraction form
    67.04/92.50 = 42.14/x
  3. Step 3: Cross multiply
    67.04x = 92.50 × 42.14
  4. Step 4: Simplify right side
    67.04x = 3,897.67
  5. Step 5: Solve for x
    x = 3,897.67/67.04
  6. Step 6: Final answer
    x = 58.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.