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Finding the Fourth Proportional to 121.32, 181.48 and 97

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Solution

The fourth proportional to 121.32, 181.48 and 97 is: 145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.32 : 181.48 = 97 : x
  2. Step 2: Convert to fraction form
    121.32/181.48 = 97/x
  3. Step 3: Cross multiply
    121.32x = 181.48 × 97
  4. Step 4: Simplify right side
    121.32x = 17,603.56
  5. Step 5: Solve for x
    x = 17,603.56/121.32
  6. Step 6: Final answer
    x = 145.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.