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Finding the Fourth Proportional to 72.80, 100.45 and 46.56

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Solution

The fourth proportional to 72.80, 100.45 and 46.56 is: 64.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.80 : 100.45 = 46.56 : x
  2. Step 2: Convert to fraction form
    72.80/100.45 = 46.56/x
  3. Step 3: Cross multiply
    72.80x = 100.45 × 46.56
  4. Step 4: Simplify right side
    72.80x = 4,676.93
  5. Step 5: Solve for x
    x = 4,676.93/72.80
  6. Step 6: Final answer
    x = 64.24

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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.