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Finding the Fourth Proportional to 112.96, 156.01 and 76.06

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Solution

The fourth proportional to 112.96, 156.01 and 76.06 is: 105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 156.01 = 76.06 : x
  2. Step 2: Convert to fraction form
    112.96/156.01 = 76.06/x
  3. Step 3: Cross multiply
    112.96x = 156.01 × 76.06
  4. Step 4: Simplify right side
    112.96x = 11,866.12
  5. Step 5: Solve for x
    x = 11,866.12/112.96
  6. Step 6: Final answer
    x = 105.05

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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.