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Finding the Fourth Proportional to 52.36, 78.17 and 47.56

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Solution

The fourth proportional to 52.36, 78.17 and 47.56 is: 71.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.36 : 78.17 = 47.56 : x
  2. Step 2: Convert to fraction form
    52.36/78.17 = 47.56/x
  3. Step 3: Cross multiply
    52.36x = 78.17 × 47.56
  4. Step 4: Simplify right side
    52.36x = 3,717.77
  5. Step 5: Solve for x
    x = 3,717.77/52.36
  6. Step 6: Final answer
    x = 71.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.