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Finding the Fourth Proportional to 55.63, 76.84 and 50.16

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Solution

The fourth proportional to 55.63, 76.84 and 50.16 is: 69.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.63 : 76.84 = 50.16 : x
  2. Step 2: Convert to fraction form
    55.63/76.84 = 50.16/x
  3. Step 3: Cross multiply
    55.63x = 76.84 × 50.16
  4. Step 4: Simplify right side
    55.63x = 3,854.17
  5. Step 5: Solve for x
    x = 3,854.17/55.63
  6. Step 6: Final answer
    x = 69.29

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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.