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Finding the Fourth Proportional to 148.25, 204.56 and 86.06

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Solution

The fourth proportional to 148.25, 204.56 and 86.06 is: 118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.25 : 204.56 = 86.06 : x
  2. Step 2: Convert to fraction form
    148.25/204.56 = 86.06/x
  3. Step 3: Cross multiply
    148.25x = 204.56 × 86.06
  4. Step 4: Simplify right side
    148.25x = 17,602.98
  5. Step 5: Solve for x
    x = 17,602.98/148.25
  6. Step 6: Final answer
    x = 118.74

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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.