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Finding the Fourth Proportional to 9.21, 12.70 and 5.57

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Solution

The fourth proportional to 9.21, 12.70 and 5.57 is: 7.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.21 : 12.70 = 5.57 : x
  2. Step 2: Convert to fraction form
    9.21/12.70 = 5.57/x
  3. Step 3: Cross multiply
    9.21x = 12.70 × 5.57
  4. Step 4: Simplify right side
    9.21x = 70.65
  5. Step 5: Solve for x
    x = 70.65/9.21
  6. Step 6: Final answer
    x = 7.67

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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.