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Finding the Fourth Proportional to 103.08, 153.71 and 102.18

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Solution

The fourth proportional to 103.08, 153.71 and 102.18 is: 152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.08 : 153.71 = 102.18 : x
  2. Step 2: Convert to fraction form
    103.08/153.71 = 102.18/x
  3. Step 3: Cross multiply
    103.08x = 153.71 × 102.18
  4. Step 4: Simplify right side
    103.08x = 15,706.09
  5. Step 5: Solve for x
    x = 15,706.09/103.08
  6. Step 6: Final answer
    x = 152.37

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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.