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Finding the Fourth Proportional to 169, 253.26 and 96.84

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Solution

The fourth proportional to 169, 253.26 and 96.84 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169 : 253.26 = 96.84 : x
  2. Step 2: Convert to fraction form
    169/253.26 = 96.84/x
  3. Step 3: Cross multiply
    169x = 253.26 × 96.84
  4. Step 4: Simplify right side
    169x = 24,525.70
  5. Step 5: Solve for x
    x = 24,525.70/169
  6. Step 6: Final answer
    x = 145.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.