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Finding the Fourth Proportional to 71.45, 98.58 and 50.78

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Solution

The fourth proportional to 71.45, 98.58 and 50.78 is: 70.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.45 : 98.58 = 50.78 : x
  2. Step 2: Convert to fraction form
    71.45/98.58 = 50.78/x
  3. Step 3: Cross multiply
    71.45x = 98.58 × 50.78
  4. Step 4: Simplify right side
    71.45x = 5,005.89
  5. Step 5: Solve for x
    x = 5,005.89/71.45
  6. Step 6: Final answer
    x = 70.06

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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.