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Finding the Fourth Proportional to 147.82, 221.74 and 56.51

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Solution

The fourth proportional to 147.82, 221.74 and 56.51 is: 84.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 221.74 = 56.51 : x
  2. Step 2: Convert to fraction form
    147.82/221.74 = 56.51/x
  3. Step 3: Cross multiply
    147.82x = 221.74 × 56.51
  4. Step 4: Simplify right side
    147.82x = 12,529.14
  5. Step 5: Solve for x
    x = 12,529.14/147.82
  6. Step 6: Final answer
    x = 84.76

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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.