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Finding the Fourth Proportional to 62.30, 85.83 and 56.54

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Solution

The fourth proportional to 62.30, 85.83 and 56.54 is: 77.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.30 : 85.83 = 56.54 : x
  2. Step 2: Convert to fraction form
    62.30/85.83 = 56.54/x
  3. Step 3: Cross multiply
    62.30x = 85.83 × 56.54
  4. Step 4: Simplify right side
    62.30x = 4,852.83
  5. Step 5: Solve for x
    x = 4,852.83/62.30
  6. Step 6: Final answer
    x = 77.89

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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.