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Finding the Fourth Proportional to 158.42, 218.72 and 117.02

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Solution

The fourth proportional to 158.42, 218.72 and 117.02 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.42 : 218.72 = 117.02 : x
  2. Step 2: Convert to fraction form
    158.42/218.72 = 117.02/x
  3. Step 3: Cross multiply
    158.42x = 218.72 × 117.02
  4. Step 4: Simplify right side
    158.42x = 25,592.94
  5. Step 5: Solve for x
    x = 25,592.94/158.42
  6. Step 6: Final answer
    x = 161.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.