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Finding the Fourth Proportional to 34.97, 52.58 and 32.00

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Solution

The fourth proportional to 34.97, 52.58 and 32.00 is: 48.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.97 : 52.58 = 32.00 : x
  2. Step 2: Convert to fraction form
    34.97/52.58 = 32.00/x
  3. Step 3: Cross multiply
    34.97x = 52.58 × 32.00
  4. Step 4: Simplify right side
    34.97x = 1,682.38
  5. Step 5: Solve for x
    x = 1,682.38/34.97
  6. Step 6: Final answer
    x = 48.12

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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.