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Finding the Fourth Proportional to 55.86, 77.04 and 34

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Solution

The fourth proportional to 55.86, 77.04 and 34 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.86 : 77.04 = 34 : x
  2. Step 2: Convert to fraction form
    55.86/77.04 = 34/x
  3. Step 3: Cross multiply
    55.86x = 77.04 × 34
  4. Step 4: Simplify right side
    55.86x = 2,619.36
  5. Step 5: Solve for x
    x = 2,619.36/55.86
  6. Step 6: Final answer
    x = 46.89

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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.