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Finding the Fourth Proportional to 103.14, 155.32 and 89.77

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Solution

The fourth proportional to 103.14, 155.32 and 89.77 is: 135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.14 : 155.32 = 89.77 : x
  2. Step 2: Convert to fraction form
    103.14/155.32 = 89.77/x
  3. Step 3: Cross multiply
    103.14x = 155.32 × 89.77
  4. Step 4: Simplify right side
    103.14x = 13,942.88
  5. Step 5: Solve for x
    x = 13,942.88/103.14
  6. Step 6: Final answer
    x = 135.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.