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Finding the Fourth Proportional to 169.69, 234.16 and 96.01

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Solution

The fourth proportional to 169.69, 234.16 and 96.01 is: 132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.69 : 234.16 = 96.01 : x
  2. Step 2: Convert to fraction form
    169.69/234.16 = 96.01/x
  3. Step 3: Cross multiply
    169.69x = 234.16 × 96.01
  4. Step 4: Simplify right side
    169.69x = 22,482.51
  5. Step 5: Solve for x
    x = 22,482.51/169.69
  6. Step 6: Final answer
    x = 132.49

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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.