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Finding the Fourth Proportional to 57.84, 79.80 and 40.35

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Solution

The fourth proportional to 57.84, 79.80 and 40.35 is: 55.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 79.80 = 40.35 : x
  2. Step 2: Convert to fraction form
    57.84/79.80 = 40.35/x
  3. Step 3: Cross multiply
    57.84x = 79.80 × 40.35
  4. Step 4: Simplify right side
    57.84x = 3,219.69
  5. Step 5: Solve for x
    x = 3,219.69/57.84
  6. Step 6: Final answer
    x = 55.67

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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.