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Finding the Fourth Proportional to 97.51, 146.25 and 29.02

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Solution

The fourth proportional to 97.51, 146.25 and 29.02 is: 43.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.51 : 146.25 = 29.02 : x
  2. Step 2: Convert to fraction form
    97.51/146.25 = 29.02/x
  3. Step 3: Cross multiply
    97.51x = 146.25 × 29.02
  4. Step 4: Simplify right side
    97.51x = 4,244.18
  5. Step 5: Solve for x
    x = 4,244.18/97.51
  6. Step 6: Final answer
    x = 43.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.