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Finding the Fourth Proportional to 105.56, 145.56 and 71

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Solution

The fourth proportional to 105.56, 145.56 and 71 is: 97.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.56 : 145.56 = 71 : x
  2. Step 2: Convert to fraction form
    105.56/145.56 = 71/x
  3. Step 3: Cross multiply
    105.56x = 145.56 × 71
  4. Step 4: Simplify right side
    105.56x = 10,334.76
  5. Step 5: Solve for x
    x = 10,334.76/105.56
  6. Step 6: Final answer
    x = 97.90

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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.