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Finding the Fourth Proportional to 55.55, 76.67 and 31.00

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Solution

The fourth proportional to 55.55, 76.67 and 31.00 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.55 : 76.67 = 31.00 : x
  2. Step 2: Convert to fraction form
    55.55/76.67 = 31.00/x
  3. Step 3: Cross multiply
    55.55x = 76.67 × 31.00
  4. Step 4: Simplify right side
    55.55x = 2,376.23
  5. Step 5: Solve for x
    x = 2,376.23/55.55
  6. Step 6: Final answer
    x = 42.78

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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.