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Finding the Fourth Proportional to 131.74, 181.69 and 111.06

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Solution

The fourth proportional to 131.74, 181.69 and 111.06 is: 153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.74 : 181.69 = 111.06 : x
  2. Step 2: Convert to fraction form
    131.74/181.69 = 111.06/x
  3. Step 3: Cross multiply
    131.74x = 181.69 × 111.06
  4. Step 4: Simplify right side
    131.74x = 20,178.49
  5. Step 5: Solve for x
    x = 20,178.49/131.74
  6. Step 6: Final answer
    x = 153.17

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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.