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Finding the Fourth Proportional to 103.37, 155.24 and 101.84

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Solution

The fourth proportional to 103.37, 155.24 and 101.84 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.37 : 155.24 = 101.84 : x
  2. Step 2: Convert to fraction form
    103.37/155.24 = 101.84/x
  3. Step 3: Cross multiply
    103.37x = 155.24 × 101.84
  4. Step 4: Simplify right side
    103.37x = 15,808.36
  5. Step 5: Solve for x
    x = 15,808.36/103.37
  6. Step 6: Final answer
    x = 152.94

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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.