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Finding the Fourth Proportional to 72.30, 99.78 and 41.22

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Solution

The fourth proportional to 72.30, 99.78 and 41.22 is: 56.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.30 : 99.78 = 41.22 : x
  2. Step 2: Convert to fraction form
    72.30/99.78 = 41.22/x
  3. Step 3: Cross multiply
    72.30x = 99.78 × 41.22
  4. Step 4: Simplify right side
    72.30x = 4,112.99
  5. Step 5: Solve for x
    x = 4,112.99/72.30
  6. Step 6: Final answer
    x = 56.89

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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.