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Finding the Fourth Proportional to 72.30, 108.34 and 57.78

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Solution

The fourth proportional to 72.30, 108.34 and 57.78 is: 86.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.30 : 108.34 = 57.78 : x
  2. Step 2: Convert to fraction form
    72.30/108.34 = 57.78/x
  3. Step 3: Cross multiply
    72.30x = 108.34 × 57.78
  4. Step 4: Simplify right side
    72.30x = 6,259.89
  5. Step 5: Solve for x
    x = 6,259.89/72.30
  6. Step 6: Final answer
    x = 86.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.