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Finding the Fourth Proportional to 72.55, 109.25 and 64.50

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Solution

The fourth proportional to 72.55, 109.25 and 64.50 is: 97.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.55 : 109.25 = 64.50 : x
  2. Step 2: Convert to fraction form
    72.55/109.25 = 64.50/x
  3. Step 3: Cross multiply
    72.55x = 109.25 × 64.50
  4. Step 4: Simplify right side
    72.55x = 7,046.13
  5. Step 5: Solve for x
    x = 7,046.13/72.55
  6. Step 6: Final answer
    x = 97.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.