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Finding the Fourth Proportional to 131.52, 181.14 and 113.10

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Solution

The fourth proportional to 131.52, 181.14 and 113.10 is: 155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 181.14 = 113.10 : x
  2. Step 2: Convert to fraction form
    131.52/181.14 = 113.10/x
  3. Step 3: Cross multiply
    131.52x = 181.14 × 113.10
  4. Step 4: Simplify right side
    131.52x = 20,485.83
  5. Step 5: Solve for x
    x = 20,485.83/131.52
  6. Step 6: Final answer
    x = 155.76

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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.