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Finding the Fourth Proportional to 72.49, 100.04 and 51.77

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Solution

The fourth proportional to 72.49, 100.04 and 51.77 is: 71.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.49 : 100.04 = 51.77 : x
  2. Step 2: Convert to fraction form
    72.49/100.04 = 51.77/x
  3. Step 3: Cross multiply
    72.49x = 100.04 × 51.77
  4. Step 4: Simplify right side
    72.49x = 5,178.31
  5. Step 5: Solve for x
    x = 5,178.31/72.49
  6. Step 6: Final answer
    x = 71.44

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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.