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Finding the Fourth Proportional to 51.48, 70.97 and 35.10

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Solution

The fourth proportional to 51.48, 70.97 and 35.10 is: 48.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.48 : 70.97 = 35.10 : x
  2. Step 2: Convert to fraction form
    51.48/70.97 = 35.10/x
  3. Step 3: Cross multiply
    51.48x = 70.97 × 35.10
  4. Step 4: Simplify right side
    51.48x = 2,490.87
  5. Step 5: Solve for x
    x = 2,490.87/51.48
  6. Step 6: Final answer
    x = 48.39

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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.