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Finding the Fourth Proportional to 97.07, 144.36 and 96.06

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Solution

The fourth proportional to 97.07, 144.36 and 96.06 is: 142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.07 : 144.36 = 96.06 : x
  2. Step 2: Convert to fraction form
    97.07/144.36 = 96.06/x
  3. Step 3: Cross multiply
    97.07x = 144.36 × 96.06
  4. Step 4: Simplify right side
    97.07x = 13,867.22
  5. Step 5: Solve for x
    x = 13,867.22/97.07
  6. Step 6: Final answer
    x = 142.86

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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.