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Finding the Fourth Proportional to 62.50, 86.04 and 55.82

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Solution

The fourth proportional to 62.50, 86.04 and 55.82 is: 76.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.50 : 86.04 = 55.82 : x
  2. Step 2: Convert to fraction form
    62.50/86.04 = 55.82/x
  3. Step 3: Cross multiply
    62.50x = 86.04 × 55.82
  4. Step 4: Simplify right side
    62.50x = 4,802.75
  5. Step 5: Solve for x
    x = 4,802.75/62.50
  6. Step 6: Final answer
    x = 76.84

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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.