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Finding the Fourth Proportional to 116.24, 160.41 and 64.49

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Solution

The fourth proportional to 116.24, 160.41 and 64.49 is: 88.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 160.41 = 64.49 : x
  2. Step 2: Convert to fraction form
    116.24/160.41 = 64.49/x
  3. Step 3: Cross multiply
    116.24x = 160.41 × 64.49
  4. Step 4: Simplify right side
    116.24x = 10,343.72
  5. Step 5: Solve for x
    x = 10,343.72/116.24
  6. Step 6: Final answer
    x = 88.99

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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.