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Finding the Fourth Proportional to 72.56, 100.10 and 46.33

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Solution

The fourth proportional to 72.56, 100.10 and 46.33 is: 63.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.56 : 100.10 = 46.33 : x
  2. Step 2: Convert to fraction form
    72.56/100.10 = 46.33/x
  3. Step 3: Cross multiply
    72.56x = 100.10 × 46.33
  4. Step 4: Simplify right side
    72.56x = 4,637.50
  5. Step 5: Solve for x
    x = 4,637.50/72.56
  6. Step 6: Final answer
    x = 63.91

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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.