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Finding the Fourth Proportional to 103.46, 153.93 and 103.11

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Solution

The fourth proportional to 103.46, 153.93 and 103.11 is: 153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.46 : 153.93 = 103.11 : x
  2. Step 2: Convert to fraction form
    103.46/153.93 = 103.11/x
  3. Step 3: Cross multiply
    103.46x = 153.93 × 103.11
  4. Step 4: Simplify right side
    103.46x = 15,871.53
  5. Step 5: Solve for x
    x = 15,871.53/103.46
  6. Step 6: Final answer
    x = 153.41

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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.