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Finding the Fourth Proportional to 35.40, 51.78 and 35.40

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Solution

The fourth proportional to 35.40, 51.78 and 35.40 is: 51.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.40 : 51.78 = 35.40 : x
  2. Step 2: Convert to fraction form
    35.40/51.78 = 35.40/x
  3. Step 3: Cross multiply
    35.40x = 51.78 × 35.40
  4. Step 4: Simplify right side
    35.40x = 1,833.01
  5. Step 5: Solve for x
    x = 1,833.01/35.40
  6. Step 6: Final answer
    x = 51.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.