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Finding the Fourth Proportional to 113.16, 155.94 and 89.76

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Solution

The fourth proportional to 113.16, 155.94 and 89.76 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 155.94 = 89.76 : x
  2. Step 2: Convert to fraction form
    113.16/155.94 = 89.76/x
  3. Step 3: Cross multiply
    113.16x = 155.94 × 89.76
  4. Step 4: Simplify right side
    113.16x = 13,997.17
  5. Step 5: Solve for x
    x = 13,997.17/113.16
  6. Step 6: Final answer
    x = 123.69

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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.