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Finding the Fourth Proportional to 72.95, 109.00 and 55.49

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Solution

The fourth proportional to 72.95, 109.00 and 55.49 is: 82.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.95 : 109.00 = 55.49 : x
  2. Step 2: Convert to fraction form
    72.95/109.00 = 55.49/x
  3. Step 3: Cross multiply
    72.95x = 109.00 × 55.49
  4. Step 4: Simplify right side
    72.95x = 6,047.62
  5. Step 5: Solve for x
    x = 6,047.62/72.95
  6. Step 6: Final answer
    x = 82.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.