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Finding the Fourth Proportional to 51.32, 70.86 and 44.51

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Solution

The fourth proportional to 51.32, 70.86 and 44.51 is: 61.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.32 : 70.86 = 44.51 : x
  2. Step 2: Convert to fraction form
    51.32/70.86 = 44.51/x
  3. Step 3: Cross multiply
    51.32x = 70.86 × 44.51
  4. Step 4: Simplify right side
    51.32x = 3,153.62
  5. Step 5: Solve for x
    x = 3,153.62/51.32
  6. Step 6: Final answer
    x = 61.46

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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.