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Finding the Fourth Proportional to 97.70, 147.06 and 67.46

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Solution

The fourth proportional to 97.70, 147.06 and 67.46 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 147.06 = 67.46 : x
  2. Step 2: Convert to fraction form
    97.70/147.06 = 67.46/x
  3. Step 3: Cross multiply
    97.70x = 147.06 × 67.46
  4. Step 4: Simplify right side
    97.70x = 9,919.93
  5. Step 5: Solve for x
    x = 9,919.93/97.70
  6. Step 6: Final answer
    x = 101.54

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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.