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Finding the Fourth Proportional to 142.32, 213.47 and 51

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Solution

The fourth proportional to 142.32, 213.47 and 51 is: 76.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 213.47 = 51 : x
  2. Step 2: Convert to fraction form
    142.32/213.47 = 51/x
  3. Step 3: Cross multiply
    142.32x = 213.47 × 51
  4. Step 4: Simplify right side
    142.32x = 10,886.72
  5. Step 5: Solve for x
    x = 10,886.72/142.32
  6. Step 6: Final answer
    x = 76.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.