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Finding the Fourth Proportional to 64.70, 89.49 and 49.16

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Solution

The fourth proportional to 64.70, 89.49 and 49.16 is: 68.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.70 : 89.49 = 49.16 : x
  2. Step 2: Convert to fraction form
    64.70/89.49 = 49.16/x
  3. Step 3: Cross multiply
    64.70x = 89.49 × 49.16
  4. Step 4: Simplify right side
    64.70x = 4,399.33
  5. Step 5: Solve for x
    x = 4,399.33/64.70
  6. Step 6: Final answer
    x = 68.00

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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.