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Finding the Fourth Proportional to 117, 161.46 and 73.40

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Solution

The fourth proportional to 117, 161.46 and 73.40 is: 101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 161.46 = 73.40 : x
  2. Step 2: Convert to fraction form
    117/161.46 = 73.40/x
  3. Step 3: Cross multiply
    117x = 161.46 × 73.40
  4. Step 4: Simplify right side
    117x = 11,850.36
  5. Step 5: Solve for x
    x = 11,850.36/117
  6. Step 6: Final answer
    x = 101.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.