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Finding the Fourth Proportional to 72.23, 99.68 and 53.84

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Solution

The fourth proportional to 72.23, 99.68 and 53.84 is: 74.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.23 : 99.68 = 53.84 : x
  2. Step 2: Convert to fraction form
    72.23/99.68 = 53.84/x
  3. Step 3: Cross multiply
    72.23x = 99.68 × 53.84
  4. Step 4: Simplify right side
    72.23x = 5,366.77
  5. Step 5: Solve for x
    x = 5,366.77/72.23
  6. Step 6: Final answer
    x = 74.30

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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.