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Finding the Fourth Proportional to 117.05, 161.46 and 77.72

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Solution

The fourth proportional to 117.05, 161.46 and 77.72 is: 107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.05 : 161.46 = 77.72 : x
  2. Step 2: Convert to fraction form
    117.05/161.46 = 77.72/x
  3. Step 3: Cross multiply
    117.05x = 161.46 × 77.72
  4. Step 4: Simplify right side
    117.05x = 12,547.86
  5. Step 5: Solve for x
    x = 12,547.86/117.05
  6. Step 6: Final answer
    x = 107.21

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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.