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Finding the Fourth Proportional to 26.51, 36.10 and 26.42

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Solution

The fourth proportional to 26.51, 36.10 and 26.42 is: 35.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.51 : 36.10 = 26.42 : x
  2. Step 2: Convert to fraction form
    26.51/36.10 = 26.42/x
  3. Step 3: Cross multiply
    26.51x = 36.10 × 26.42
  4. Step 4: Simplify right side
    26.51x = 953.76
  5. Step 5: Solve for x
    x = 953.76/26.51
  6. Step 6: Final answer
    x = 35.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.