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Finding the Fourth Proportional to 97.46, 147.24 and 96.46

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Solution

The fourth proportional to 97.46, 147.24 and 96.46 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.46 : 147.24 = 96.46 : x
  2. Step 2: Convert to fraction form
    97.46/147.24 = 96.46/x
  3. Step 3: Cross multiply
    97.46x = 147.24 × 96.46
  4. Step 4: Simplify right side
    97.46x = 14,202.77
  5. Step 5: Solve for x
    x = 14,202.77/97.46
  6. Step 6: Final answer
    x = 145.73

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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.