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Finding the Fourth Proportional to 107.23, 147.87 and 72.22

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Solution

The fourth proportional to 107.23, 147.87 and 72.22 is: 99.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.23 : 147.87 = 72.22 : x
  2. Step 2: Convert to fraction form
    107.23/147.87 = 72.22/x
  3. Step 3: Cross multiply
    107.23x = 147.87 × 72.22
  4. Step 4: Simplify right side
    107.23x = 10,679.17
  5. Step 5: Solve for x
    x = 10,679.17/107.23
  6. Step 6: Final answer
    x = 99.59

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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.