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Finding the Fourth Proportional to 55.40, 83.06 and 38.32

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Solution

The fourth proportional to 55.40, 83.06 and 38.32 is: 57.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 83.06 = 38.32 : x
  2. Step 2: Convert to fraction form
    55.40/83.06 = 38.32/x
  3. Step 3: Cross multiply
    55.40x = 83.06 × 38.32
  4. Step 4: Simplify right side
    55.40x = 3,182.46
  5. Step 5: Solve for x
    x = 3,182.46/55.40
  6. Step 6: Final answer
    x = 57.44

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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.