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Finding the Fourth Proportional to 163.17, 245.00 and 102.13

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Solution

The fourth proportional to 163.17, 245.00 and 102.13 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.17 : 245.00 = 102.13 : x
  2. Step 2: Convert to fraction form
    163.17/245.00 = 102.13/x
  3. Step 3: Cross multiply
    163.17x = 245.00 × 102.13
  4. Step 4: Simplify right side
    163.17x = 25,021.49
  5. Step 5: Solve for x
    x = 25,021.49/163.17
  6. Step 6: Final answer
    x = 153.35

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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.