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Finding the Fourth Proportional to 107.42, 161.08 and 64.10

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Solution

The fourth proportional to 107.42, 161.08 and 64.10 is: 96.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.42 : 161.08 = 64.10 : x
  2. Step 2: Convert to fraction form
    107.42/161.08 = 64.10/x
  3. Step 3: Cross multiply
    107.42x = 161.08 × 64.10
  4. Step 4: Simplify right side
    107.42x = 10,324.50
  5. Step 5: Solve for x
    x = 10,324.50/107.42
  6. Step 6: Final answer
    x = 96.11

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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.