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Finding the Fourth Proportional to 72.19, 99.63 and 41.11

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Solution

The fourth proportional to 72.19, 99.63 and 41.11 is: 56.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.19 : 99.63 = 41.11 : x
  2. Step 2: Convert to fraction form
    72.19/99.63 = 41.11/x
  3. Step 3: Cross multiply
    72.19x = 99.63 × 41.11
  4. Step 4: Simplify right side
    72.19x = 4,095.79
  5. Step 5: Solve for x
    x = 4,095.79/72.19
  6. Step 6: Final answer
    x = 56.74

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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.