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Finding the Fourth Proportional to 72.26, 99.48 and 64.04

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Solution

The fourth proportional to 72.26, 99.48 and 64.04 is: 88.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.26 : 99.48 = 64.04 : x
  2. Step 2: Convert to fraction form
    72.26/99.48 = 64.04/x
  3. Step 3: Cross multiply
    72.26x = 99.48 × 64.04
  4. Step 4: Simplify right side
    72.26x = 6,370.70
  5. Step 5: Solve for x
    x = 6,370.70/72.26
  6. Step 6: Final answer
    x = 88.16

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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.