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Finding the Fourth Proportional to 115.99, 160.06 and 64.24

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Solution

The fourth proportional to 115.99, 160.06 and 64.24 is: 88.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.99 : 160.06 = 64.24 : x
  2. Step 2: Convert to fraction form
    115.99/160.06 = 64.24/x
  3. Step 3: Cross multiply
    115.99x = 160.06 × 64.24
  4. Step 4: Simplify right side
    115.99x = 10,282.25
  5. Step 5: Solve for x
    x = 10,282.25/115.99
  6. Step 6: Final answer
    x = 88.65

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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.