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Finding the Fourth Proportional to 55.50, 76.58 and 34.78

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Solution

The fourth proportional to 55.50, 76.58 and 34.78 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 76.58 = 34.78 : x
  2. Step 2: Convert to fraction form
    55.50/76.58 = 34.78/x
  3. Step 3: Cross multiply
    55.50x = 76.58 × 34.78
  4. Step 4: Simplify right side
    55.50x = 2,663.07
  5. Step 5: Solve for x
    x = 2,663.07/55.50
  6. Step 6: Final answer
    x = 47.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.