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Finding the Fourth Proportional to 103.96, 156.56 and 91.89

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Solution

The fourth proportional to 103.96, 156.56 and 91.89 is: 138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 156.56 = 91.89 : x
  2. Step 2: Convert to fraction form
    103.96/156.56 = 91.89/x
  3. Step 3: Cross multiply
    103.96x = 156.56 × 91.89
  4. Step 4: Simplify right side
    103.96x = 14,386.30
  5. Step 5: Solve for x
    x = 14,386.30/103.96
  6. Step 6: Final answer
    x = 138.38

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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.