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Finding the Fourth Proportional to 145.74, 201.14 and 121.14

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Solution

The fourth proportional to 145.74, 201.14 and 121.14 is: 167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 201.14 = 121.14 : x
  2. Step 2: Convert to fraction form
    145.74/201.14 = 121.14/x
  3. Step 3: Cross multiply
    145.74x = 201.14 × 121.14
  4. Step 4: Simplify right side
    145.74x = 24,366.40
  5. Step 5: Solve for x
    x = 24,366.40/145.74
  6. Step 6: Final answer
    x = 167.19

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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.