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Finding the Fourth Proportional to 97.10, 144.80 and 96.23

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Solution

The fourth proportional to 97.10, 144.80 and 96.23 is: 143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.10 : 144.80 = 96.23 : x
  2. Step 2: Convert to fraction form
    97.10/144.80 = 96.23/x
  3. Step 3: Cross multiply
    97.10x = 144.80 × 96.23
  4. Step 4: Simplify right side
    97.10x = 13,934.10
  5. Step 5: Solve for x
    x = 13,934.10/97.10
  6. Step 6: Final answer
    x = 143.50

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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.