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Finding the Fourth Proportional to 116.48, 174.46 and 67.01

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Solution

The fourth proportional to 116.48, 174.46 and 67.01 is: 100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 174.46 = 67.01 : x
  2. Step 2: Convert to fraction form
    116.48/174.46 = 67.01/x
  3. Step 3: Cross multiply
    116.48x = 174.46 × 67.01
  4. Step 4: Simplify right side
    116.48x = 11,689.69
  5. Step 5: Solve for x
    x = 11,689.69/116.48
  6. Step 6: Final answer
    x = 100.36

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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.