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Finding the Fourth Proportional to 121.62, 167.58 and 114.06

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Solution

The fourth proportional to 121.62, 167.58 and 114.06 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.62 : 167.58 = 114.06 : x
  2. Step 2: Convert to fraction form
    121.62/167.58 = 114.06/x
  3. Step 3: Cross multiply
    121.62x = 167.58 × 114.06
  4. Step 4: Simplify right side
    121.62x = 19,114.17
  5. Step 5: Solve for x
    x = 19,114.17/121.62
  6. Step 6: Final answer
    x = 157.16

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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.