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Finding the Fourth Proportional to 117.02, 161.58 and 100.58

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Solution

The fourth proportional to 117.02, 161.58 and 100.58 is: 138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.02 : 161.58 = 100.58 : x
  2. Step 2: Convert to fraction form
    117.02/161.58 = 100.58/x
  3. Step 3: Cross multiply
    117.02x = 161.58 × 100.58
  4. Step 4: Simplify right side
    117.02x = 16,251.72
  5. Step 5: Solve for x
    x = 16,251.72/117.02
  6. Step 6: Final answer
    x = 138.88

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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.