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Finding the Fourth Proportional to 131.54, 197.46 and 101.48

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Solution

The fourth proportional to 131.54, 197.46 and 101.48 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 197.46 = 101.48 : x
  2. Step 2: Convert to fraction form
    131.54/197.46 = 101.48/x
  3. Step 3: Cross multiply
    131.54x = 197.46 × 101.48
  4. Step 4: Simplify right side
    131.54x = 20,038.24
  5. Step 5: Solve for x
    x = 20,038.24/131.54
  6. Step 6: Final answer
    x = 152.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.