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Finding the Fourth Proportional to 147.93, 220.83 and 117.45

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Solution

The fourth proportional to 147.93, 220.83 and 117.45 is: 175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 220.83 = 117.45 : x
  2. Step 2: Convert to fraction form
    147.93/220.83 = 117.45/x
  3. Step 3: Cross multiply
    147.93x = 220.83 × 117.45
  4. Step 4: Simplify right side
    147.93x = 25,936.04
  5. Step 5: Solve for x
    x = 25,936.04/147.93
  6. Step 6: Final answer
    x = 175.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.