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Finding the Fourth Proportional to 63.51, 94.98 and 52.50

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Solution

The fourth proportional to 63.51, 94.98 and 52.50 is: 78.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.51 : 94.98 = 52.50 : x
  2. Step 2: Convert to fraction form
    63.51/94.98 = 52.50/x
  3. Step 3: Cross multiply
    63.51x = 94.98 × 52.50
  4. Step 4: Simplify right side
    63.51x = 4,986.45
  5. Step 5: Solve for x
    x = 4,986.45/63.51
  6. Step 6: Final answer
    x = 78.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.