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Finding the Fourth Proportional to 109.21, 163 and 102.07

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Solution

The fourth proportional to 109.21, 163 and 102.07 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.21 : 163 = 102.07 : x
  2. Step 2: Convert to fraction form
    109.21/163 = 102.07/x
  3. Step 3: Cross multiply
    109.21x = 163 × 102.07
  4. Step 4: Simplify right side
    109.21x = 16,637.41
  5. Step 5: Solve for x
    x = 16,637.41/109.21
  6. Step 6: Final answer
    x = 152.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.