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Finding the Fourth Proportional to 62.76, 94.16 and 52.00

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Solution

The fourth proportional to 62.76, 94.16 and 52.00 is: 78.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.76 : 94.16 = 52.00 : x
  2. Step 2: Convert to fraction form
    62.76/94.16 = 52.00/x
  3. Step 3: Cross multiply
    62.76x = 94.16 × 52.00
  4. Step 4: Simplify right side
    62.76x = 4,896.21
  5. Step 5: Solve for x
    x = 4,896.21/62.76
  6. Step 6: Final answer
    x = 78.01

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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.