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Finding the Fourth Proportional to 101.68, 151.50 and 97.58

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Solution

The fourth proportional to 101.68, 151.50 and 97.58 is: 145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.68 : 151.50 = 97.58 : x
  2. Step 2: Convert to fraction form
    101.68/151.50 = 97.58/x
  3. Step 3: Cross multiply
    101.68x = 151.50 × 97.58
  4. Step 4: Simplify right side
    101.68x = 14,782.87
  5. Step 5: Solve for x
    x = 14,782.87/101.68
  6. Step 6: Final answer
    x = 145.39

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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.