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Finding the Fourth Proportional to 72.59, 100.21 and 51.89

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Solution

The fourth proportional to 72.59, 100.21 and 51.89 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.59 : 100.21 = 51.89 : x
  2. Step 2: Convert to fraction form
    72.59/100.21 = 51.89/x
  3. Step 3: Cross multiply
    72.59x = 100.21 × 51.89
  4. Step 4: Simplify right side
    72.59x = 5,200.02
  5. Step 5: Solve for x
    x = 5,200.02/72.59
  6. Step 6: Final answer
    x = 71.64

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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.