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Finding the Fourth Proportional to 55.80, 76.97 and 40.02

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Solution

The fourth proportional to 55.80, 76.97 and 40.02 is: 55.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.80 : 76.97 = 40.02 : x
  2. Step 2: Convert to fraction form
    55.80/76.97 = 40.02/x
  3. Step 3: Cross multiply
    55.80x = 76.97 × 40.02
  4. Step 4: Simplify right side
    55.80x = 3,080.14
  5. Step 5: Solve for x
    x = 3,080.14/55.80
  6. Step 6: Final answer
    x = 55.20

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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.