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Finding the Fourth Proportional to 55.83, 76.98 and 52.23

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Solution

The fourth proportional to 55.83, 76.98 and 52.23 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.83 : 76.98 = 52.23 : x
  2. Step 2: Convert to fraction form
    55.83/76.98 = 52.23/x
  3. Step 3: Cross multiply
    55.83x = 76.98 × 52.23
  4. Step 4: Simplify right side
    55.83x = 4,020.67
  5. Step 5: Solve for x
    x = 4,020.67/55.83
  6. Step 6: Final answer
    x = 72.02

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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.