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Finding the Fourth Proportional to 55.74, 83.54 and 23.70

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Solution

The fourth proportional to 55.74, 83.54 and 23.70 is: 35.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.74 : 83.54 = 23.70 : x
  2. Step 2: Convert to fraction form
    55.74/83.54 = 23.70/x
  3. Step 3: Cross multiply
    55.74x = 83.54 × 23.70
  4. Step 4: Simplify right side
    55.74x = 1,979.90
  5. Step 5: Solve for x
    x = 1,979.90/55.74
  6. Step 6: Final answer
    x = 35.52

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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.