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Finding the Fourth Proportional to 103.56, 143.55 and 101.84

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Solution

The fourth proportional to 103.56, 143.55 and 101.84 is: 141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.56 : 143.55 = 101.84 : x
  2. Step 2: Convert to fraction form
    103.56/143.55 = 101.84/x
  3. Step 3: Cross multiply
    103.56x = 143.55 × 101.84
  4. Step 4: Simplify right side
    103.56x = 14,618.52
  5. Step 5: Solve for x
    x = 14,618.52/103.56
  6. Step 6: Final answer
    x = 141.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.