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Finding the Fourth Proportional to 72.36, 99.84 and 43.23

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Solution

The fourth proportional to 72.36, 99.84 and 43.23 is: 59.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.36 : 99.84 = 43.23 : x
  2. Step 2: Convert to fraction form
    72.36/99.84 = 43.23/x
  3. Step 3: Cross multiply
    72.36x = 99.84 × 43.23
  4. Step 4: Simplify right side
    72.36x = 4,316.08
  5. Step 5: Solve for x
    x = 4,316.08/72.36
  6. Step 6: Final answer
    x = 59.65

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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.