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Finding the Fourth Proportional to 40, 55.15 and 28.77

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Solution

The fourth proportional to 40, 55.15 and 28.77 is: 39.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 55.15 = 28.77 : x
  2. Step 2: Convert to fraction form
    40/55.15 = 28.77/x
  3. Step 3: Cross multiply
    40x = 55.15 × 28.77
  4. Step 4: Simplify right side
    40x = 1,586.67
  5. Step 5: Solve for x
    x = 1,586.67/40
  6. Step 6: Final answer
    x = 39.67

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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.