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Finding the Fourth Proportional to 107.09, 147.54 and 73.86

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Solution

The fourth proportional to 107.09, 147.54 and 73.86 is: 101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.09 : 147.54 = 73.86 : x
  2. Step 2: Convert to fraction form
    107.09/147.54 = 73.86/x
  3. Step 3: Cross multiply
    107.09x = 147.54 × 73.86
  4. Step 4: Simplify right side
    107.09x = 10,897.44
  5. Step 5: Solve for x
    x = 10,897.44/107.09
  6. Step 6: Final answer
    x = 101.76

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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.