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Finding the Fourth Proportional to 70.94, 97.77 and 51.50

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Solution

The fourth proportional to 70.94, 97.77 and 51.50 is: 70.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.94 : 97.77 = 51.50 : x
  2. Step 2: Convert to fraction form
    70.94/97.77 = 51.50/x
  3. Step 3: Cross multiply
    70.94x = 97.77 × 51.50
  4. Step 4: Simplify right side
    70.94x = 5,035.16
  5. Step 5: Solve for x
    x = 5,035.16/70.94
  6. Step 6: Final answer
    x = 70.98

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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.