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Finding the Fourth Proportional to 112.71, 155.60 and 76.06

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Solution

The fourth proportional to 112.71, 155.60 and 76.06 is: 105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.71 : 155.60 = 76.06 : x
  2. Step 2: Convert to fraction form
    112.71/155.60 = 76.06/x
  3. Step 3: Cross multiply
    112.71x = 155.60 × 76.06
  4. Step 4: Simplify right side
    112.71x = 11,835.04
  5. Step 5: Solve for x
    x = 11,835.04/112.71
  6. Step 6: Final answer
    x = 105.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.