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Finding the Fourth Proportional to 52.76, 78.86 and 37.46

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Solution

The fourth proportional to 52.76, 78.86 and 37.46 is: 55.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.76 : 78.86 = 37.46 : x
  2. Step 2: Convert to fraction form
    52.76/78.86 = 37.46/x
  3. Step 3: Cross multiply
    52.76x = 78.86 × 37.46
  4. Step 4: Simplify right side
    52.76x = 2,953.65
  5. Step 5: Solve for x
    x = 2,953.65/52.76
  6. Step 6: Final answer
    x = 55.99

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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.