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Finding the Fourth Proportional to 158.34, 218.53 and 114.07

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Solution

The fourth proportional to 158.34, 218.53 and 114.07 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.34 : 218.53 = 114.07 : x
  2. Step 2: Convert to fraction form
    158.34/218.53 = 114.07/x
  3. Step 3: Cross multiply
    158.34x = 218.53 × 114.07
  4. Step 4: Simplify right side
    158.34x = 24,926.60
  5. Step 5: Solve for x
    x = 24,926.60/158.34
  6. Step 6: Final answer
    x = 157.42

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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.