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Finding the Fourth Proportional to 72.26, 99.88 and 55.94

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Solution

The fourth proportional to 72.26, 99.88 and 55.94 is: 77.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.26 : 99.88 = 55.94 : x
  2. Step 2: Convert to fraction form
    72.26/99.88 = 55.94/x
  3. Step 3: Cross multiply
    72.26x = 99.88 × 55.94
  4. Step 4: Simplify right side
    72.26x = 5,587.29
  5. Step 5: Solve for x
    x = 5,587.29/72.26
  6. Step 6: Final answer
    x = 77.32

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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.