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Finding the Fourth Proportional to 70.95, 97.31 and 67.02

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Solution

The fourth proportional to 70.95, 97.31 and 67.02 is: 91.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.95 : 97.31 = 67.02 : x
  2. Step 2: Convert to fraction form
    70.95/97.31 = 67.02/x
  3. Step 3: Cross multiply
    70.95x = 97.31 × 67.02
  4. Step 4: Simplify right side
    70.95x = 6,522.00
  5. Step 5: Solve for x
    x = 6,522.00/70.95
  6. Step 6: Final answer
    x = 91.93

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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.