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Finding the Fourth Proportional to 314.13, 471.14 and 91.79

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Solution

The fourth proportional to 314.13, 471.14 and 91.79 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 471.14 = 91.79 : x
  2. Step 2: Convert to fraction form
    314.13/471.14 = 91.79/x
  3. Step 3: Cross multiply
    314.13x = 471.14 × 91.79
  4. Step 4: Simplify right side
    314.13x = 43,247.12
  5. Step 5: Solve for x
    x = 43,247.12/314.13
  6. Step 6: Final answer
    x = 137.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.