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Finding the Fourth Proportional to 97, 145.52 and 32.89

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Solution

The fourth proportional to 97, 145.52 and 32.89 is: 49.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 145.52 = 32.89 : x
  2. Step 2: Convert to fraction form
    97/145.52 = 32.89/x
  3. Step 3: Cross multiply
    97x = 145.52 × 32.89
  4. Step 4: Simplify right side
    97x = 4,786.15
  5. Step 5: Solve for x
    x = 4,786.15/97
  6. Step 6: Final answer
    x = 49.34

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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.