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Finding the Fourth Proportional to 64.67, 89.13 and 49.10

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Solution

The fourth proportional to 64.67, 89.13 and 49.10 is: 67.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.67 : 89.13 = 49.10 : x
  2. Step 2: Convert to fraction form
    64.67/89.13 = 49.10/x
  3. Step 3: Cross multiply
    64.67x = 89.13 × 49.10
  4. Step 4: Simplify right side
    64.67x = 4,375.84
  5. Step 5: Solve for x
    x = 4,375.84/64.67
  6. Step 6: Final answer
    x = 67.67

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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.