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Finding the Fourth Proportional to 37.02, 51.02 and 26.07

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Solution

The fourth proportional to 37.02, 51.02 and 26.07 is: 35.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 51.02 = 26.07 : x
  2. Step 2: Convert to fraction form
    37.02/51.02 = 26.07/x
  3. Step 3: Cross multiply
    37.02x = 51.02 × 26.07
  4. Step 4: Simplify right side
    37.02x = 1,329.96
  5. Step 5: Solve for x
    x = 1,329.96/37.02
  6. Step 6: Final answer
    x = 35.93

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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.