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Finding the Fourth Proportional to 151.42, 209.24 and 110.10

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Solution

The fourth proportional to 151.42, 209.24 and 110.10 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.42 : 209.24 = 110.10 : x
  2. Step 2: Convert to fraction form
    151.42/209.24 = 110.10/x
  3. Step 3: Cross multiply
    151.42x = 209.24 × 110.10
  4. Step 4: Simplify right side
    151.42x = 23,037.32
  5. Step 5: Solve for x
    x = 23,037.32/151.42
  6. Step 6: Final answer
    x = 152.14

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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.