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Finding the Fourth Proportional to 61.97, 93 and 34.52

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Solution

The fourth proportional to 61.97, 93 and 34.52 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.97 : 93 = 34.52 : x
  2. Step 2: Convert to fraction form
    61.97/93 = 34.52/x
  3. Step 3: Cross multiply
    61.97x = 93 × 34.52
  4. Step 4: Simplify right side
    61.97x = 3,210.36
  5. Step 5: Solve for x
    x = 3,210.36/61.97
  6. Step 6: Final answer
    x = 51.81

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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.