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Finding the Fourth Proportional to 55.11, 76.07 and 35.70

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Solution

The fourth proportional to 55.11, 76.07 and 35.70 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.11 : 76.07 = 35.70 : x
  2. Step 2: Convert to fraction form
    55.11/76.07 = 35.70/x
  3. Step 3: Cross multiply
    55.11x = 76.07 × 35.70
  4. Step 4: Simplify right side
    55.11x = 2,715.70
  5. Step 5: Solve for x
    x = 2,715.70/55.11
  6. Step 6: Final answer
    x = 49.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.