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Finding the Fourth Proportional to 103.66, 143.00 and 74.50

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Solution

The fourth proportional to 103.66, 143.00 and 74.50 is: 102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 143.00 = 74.50 : x
  2. Step 2: Convert to fraction form
    103.66/143.00 = 74.50/x
  3. Step 3: Cross multiply
    103.66x = 143.00 × 74.50
  4. Step 4: Simplify right side
    103.66x = 10,653.13
  5. Step 5: Solve for x
    x = 10,653.13/103.66
  6. Step 6: Final answer
    x = 102.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.