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Finding the Fourth Proportional to 117, 161.46 and 65.25

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Solution

The fourth proportional to 117, 161.46 and 65.25 is: 90.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 161.46 = 65.25 : x
  2. Step 2: Convert to fraction form
    117/161.46 = 65.25/x
  3. Step 3: Cross multiply
    117x = 161.46 × 65.25
  4. Step 4: Simplify right side
    117x = 10,535.27
  5. Step 5: Solve for x
    x = 10,535.27/117
  6. Step 6: Final answer
    x = 90.05

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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.