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Finding the Fourth Proportional to 43, 64.54 and 34.84

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Solution

The fourth proportional to 43, 64.54 and 34.84 is: 52.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43 : 64.54 = 34.84 : x
  2. Step 2: Convert to fraction form
    43/64.54 = 34.84/x
  3. Step 3: Cross multiply
    43x = 64.54 × 34.84
  4. Step 4: Simplify right side
    43x = 2,248.57
  5. Step 5: Solve for x
    x = 2,248.57/43
  6. Step 6: Final answer
    x = 52.29

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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.