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Finding the Fourth Proportional to 117.02, 161.57 and 93.83

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Solution

The fourth proportional to 117.02, 161.57 and 93.83 is: 129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.02 : 161.57 = 93.83 : x
  2. Step 2: Convert to fraction form
    117.02/161.57 = 93.83/x
  3. Step 3: Cross multiply
    117.02x = 161.57 × 93.83
  4. Step 4: Simplify right side
    117.02x = 15,160.11
  5. Step 5: Solve for x
    x = 15,160.11/117.02
  6. Step 6: Final answer
    x = 129.55

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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.