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Finding the Fourth Proportional to 134.65, 202 and 53.49

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Solution

The fourth proportional to 134.65, 202 and 53.49 is: 80.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.65 : 202 = 53.49 : x
  2. Step 2: Convert to fraction form
    134.65/202 = 53.49/x
  3. Step 3: Cross multiply
    134.65x = 202 × 53.49
  4. Step 4: Simplify right side
    134.65x = 10,804.98
  5. Step 5: Solve for x
    x = 10,804.98/134.65
  6. Step 6: Final answer
    x = 80.24

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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.