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Finding the Fourth Proportional to 146.47, 202.12 and 84.30

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Solution

The fourth proportional to 146.47, 202.12 and 84.30 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 202.12 = 84.30 : x
  2. Step 2: Convert to fraction form
    146.47/202.12 = 84.30/x
  3. Step 3: Cross multiply
    146.47x = 202.12 × 84.30
  4. Step 4: Simplify right side
    146.47x = 17,038.51
  5. Step 5: Solve for x
    x = 17,038.51/146.47
  6. Step 6: Final answer
    x = 116.33

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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.