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Finding the Fourth Proportional to 117.06, 161.55 and 77.65

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Solution

The fourth proportional to 117.06, 161.55 and 77.65 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.06 : 161.55 = 77.65 : x
  2. Step 2: Convert to fraction form
    117.06/161.55 = 77.65/x
  3. Step 3: Cross multiply
    117.06x = 161.55 × 77.65
  4. Step 4: Simplify right side
    117.06x = 12,544.55
  5. Step 5: Solve for x
    x = 12,544.55/117.06
  6. Step 6: Final answer
    x = 107.16

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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.