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Finding the Fourth Proportional to 52.52, 78.76 and 35.34

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Solution

The fourth proportional to 52.52, 78.76 and 35.34 is: 53.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.52 : 78.76 = 35.34 : x
  2. Step 2: Convert to fraction form
    52.52/78.76 = 35.34/x
  3. Step 3: Cross multiply
    52.52x = 78.76 × 35.34
  4. Step 4: Simplify right side
    52.52x = 2,783.38
  5. Step 5: Solve for x
    x = 2,783.38/52.52
  6. Step 6: Final answer
    x = 53.00

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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.