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Finding the Fourth Proportional to 134.66, 202.10 and 102.26

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Solution

The fourth proportional to 134.66, 202.10 and 102.26 is: 153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.66 : 202.10 = 102.26 : x
  2. Step 2: Convert to fraction form
    134.66/202.10 = 102.26/x
  3. Step 3: Cross multiply
    134.66x = 202.10 × 102.26
  4. Step 4: Simplify right side
    134.66x = 20,666.74
  5. Step 5: Solve for x
    x = 20,666.74/134.66
  6. Step 6: Final answer
    x = 153.47

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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.