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Finding the Fourth Proportional to 147.77, 204.22 and 121.51

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Solution

The fourth proportional to 147.77, 204.22 and 121.51 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.77 : 204.22 = 121.51 : x
  2. Step 2: Convert to fraction form
    147.77/204.22 = 121.51/x
  3. Step 3: Cross multiply
    147.77x = 204.22 × 121.51
  4. Step 4: Simplify right side
    147.77x = 24,814.77
  5. Step 5: Solve for x
    x = 24,814.77/147.77
  6. Step 6: Final answer
    x = 167.93

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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.