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Finding the Fourth Proportional to 101.22, 151.04 and 97.74

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Solution

The fourth proportional to 101.22, 151.04 and 97.74 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.22 : 151.04 = 97.74 : x
  2. Step 2: Convert to fraction form
    101.22/151.04 = 97.74/x
  3. Step 3: Cross multiply
    101.22x = 151.04 × 97.74
  4. Step 4: Simplify right side
    101.22x = 14,762.16
  5. Step 5: Solve for x
    x = 14,762.16/101.22
  6. Step 6: Final answer
    x = 145.84

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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.