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Finding the Fourth Proportional to 107.90, 161.61 and 65.06

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Solution

The fourth proportional to 107.90, 161.61 and 65.06 is: 97.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.90 : 161.61 = 65.06 : x
  2. Step 2: Convert to fraction form
    107.90/161.61 = 65.06/x
  3. Step 3: Cross multiply
    107.90x = 161.61 × 65.06
  4. Step 4: Simplify right side
    107.90x = 10,514.35
  5. Step 5: Solve for x
    x = 10,514.35/107.90
  6. Step 6: Final answer
    x = 97.45

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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.