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Finding the Fourth Proportional to 97.05, 144.47 and 96.53

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Solution

The fourth proportional to 97.05, 144.47 and 96.53 is: 143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.05 : 144.47 = 96.53 : x
  2. Step 2: Convert to fraction form
    97.05/144.47 = 96.53/x
  3. Step 3: Cross multiply
    97.05x = 144.47 × 96.53
  4. Step 4: Simplify right side
    97.05x = 13,945.69
  5. Step 5: Solve for x
    x = 13,945.69/97.05
  6. Step 6: Final answer
    x = 143.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.