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Finding the Fourth Proportional to 107.76, 161.62 and 62.08

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Solution

The fourth proportional to 107.76, 161.62 and 62.08 is: 93.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 161.62 = 62.08 : x
  2. Step 2: Convert to fraction form
    107.76/161.62 = 62.08/x
  3. Step 3: Cross multiply
    107.76x = 161.62 × 62.08
  4. Step 4: Simplify right side
    107.76x = 10,033.37
  5. Step 5: Solve for x
    x = 10,033.37/107.76
  6. Step 6: Final answer
    x = 93.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.