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Finding the Fourth Proportional to 27.10, 37.58 and 26.42

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Solution

The fourth proportional to 27.10, 37.58 and 26.42 is: 36.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 37.58 = 26.42 : x
  2. Step 2: Convert to fraction form
    27.10/37.58 = 26.42/x
  3. Step 3: Cross multiply
    27.10x = 37.58 × 26.42
  4. Step 4: Simplify right side
    27.10x = 992.86
  5. Step 5: Solve for x
    x = 992.86/27.10
  6. Step 6: Final answer
    x = 36.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.