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Finding the Fourth Proportional to 148.22, 204.58 and 95.80

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Solution

The fourth proportional to 148.22, 204.58 and 95.80 is: 132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.22 : 204.58 = 95.80 : x
  2. Step 2: Convert to fraction form
    148.22/204.58 = 95.80/x
  3. Step 3: Cross multiply
    148.22x = 204.58 × 95.80
  4. Step 4: Simplify right side
    148.22x = 19,598.76
  5. Step 5: Solve for x
    x = 19,598.76/148.22
  6. Step 6: Final answer
    x = 132.23

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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.