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Finding the Fourth Proportional to 55.30, 76.41 and 49.76

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Solution

The fourth proportional to 55.30, 76.41 and 49.76 is: 68.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.30 : 76.41 = 49.76 : x
  2. Step 2: Convert to fraction form
    55.30/76.41 = 49.76/x
  3. Step 3: Cross multiply
    55.30x = 76.41 × 49.76
  4. Step 4: Simplify right side
    55.30x = 3,802.16
  5. Step 5: Solve for x
    x = 3,802.16/55.30
  6. Step 6: Final answer
    x = 68.76

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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.