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Finding the Fourth Proportional to 55.09, 76.01 and 34.08

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Solution

The fourth proportional to 55.09, 76.01 and 34.08 is: 47.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.09 : 76.01 = 34.08 : x
  2. Step 2: Convert to fraction form
    55.09/76.01 = 34.08/x
  3. Step 3: Cross multiply
    55.09x = 76.01 × 34.08
  4. Step 4: Simplify right side
    55.09x = 2,590.42
  5. Step 5: Solve for x
    x = 2,590.42/55.09
  6. Step 6: Final answer
    x = 47.02

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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.