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Finding the Fourth Proportional to 103.49, 155.06 and 73.00

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Solution

The fourth proportional to 103.49, 155.06 and 73.00 is: 109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.49 : 155.06 = 73.00 : x
  2. Step 2: Convert to fraction form
    103.49/155.06 = 73.00/x
  3. Step 3: Cross multiply
    103.49x = 155.06 × 73.00
  4. Step 4: Simplify right side
    103.49x = 11,319.28
  5. Step 5: Solve for x
    x = 11,319.28/103.49
  6. Step 6: Final answer
    x = 109.38

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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.