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Finding the Fourth Proportional to 51.07, 70.51 and 35.53

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Solution

The fourth proportional to 51.07, 70.51 and 35.53 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.07 : 70.51 = 35.53 : x
  2. Step 2: Convert to fraction form
    51.07/70.51 = 35.53/x
  3. Step 3: Cross multiply
    51.07x = 70.51 × 35.53
  4. Step 4: Simplify right side
    51.07x = 2,505.22
  5. Step 5: Solve for x
    x = 2,505.22/51.07
  6. Step 6: Final answer
    x = 49.05

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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.