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Finding the Fourth Proportional to 71.78, 98.98 and 51.05

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Solution

The fourth proportional to 71.78, 98.98 and 51.05 is: 70.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.78 : 98.98 = 51.05 : x
  2. Step 2: Convert to fraction form
    71.78/98.98 = 51.05/x
  3. Step 3: Cross multiply
    71.78x = 98.98 × 51.05
  4. Step 4: Simplify right side
    71.78x = 5,053.05
  5. Step 5: Solve for x
    x = 5,053.05/71.78
  6. Step 6: Final answer
    x = 70.40

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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.