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Finding the Fourth Proportional to 117.56, 161.88 and 112.56

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Solution

The fourth proportional to 117.56, 161.88 and 112.56 is: 155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.56 : 161.88 = 112.56 : x
  2. Step 2: Convert to fraction form
    117.56/161.88 = 112.56/x
  3. Step 3: Cross multiply
    117.56x = 161.88 × 112.56
  4. Step 4: Simplify right side
    117.56x = 18,221.21
  5. Step 5: Solve for x
    x = 18,221.21/117.56
  6. Step 6: Final answer
    x = 155.00

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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.