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Finding the Fourth Proportional to 26.14, 35.88 and 26.02

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Solution

The fourth proportional to 26.14, 35.88 and 26.02 is: 35.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.14 : 35.88 = 26.02 : x
  2. Step 2: Convert to fraction form
    26.14/35.88 = 26.02/x
  3. Step 3: Cross multiply
    26.14x = 35.88 × 26.02
  4. Step 4: Simplify right side
    26.14x = 933.60
  5. Step 5: Solve for x
    x = 933.60/26.14
  6. Step 6: Final answer
    x = 35.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.