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Finding the Fourth Proportional to 97.01, 146.29 and 95.66

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Solution

The fourth proportional to 97.01, 146.29 and 95.66 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.01 : 146.29 = 95.66 : x
  2. Step 2: Convert to fraction form
    97.01/146.29 = 95.66/x
  3. Step 3: Cross multiply
    97.01x = 146.29 × 95.66
  4. Step 4: Simplify right side
    97.01x = 13,993.13
  5. Step 5: Solve for x
    x = 13,993.13/97.01
  6. Step 6: Final answer
    x = 144.25

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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.