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Finding the Fourth Proportional to 155.68, 214.74 and 99.64

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Solution

The fourth proportional to 155.68, 214.74 and 99.64 is: 137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.68 : 214.74 = 99.64 : x
  2. Step 2: Convert to fraction form
    155.68/214.74 = 99.64/x
  3. Step 3: Cross multiply
    155.68x = 214.74 × 99.64
  4. Step 4: Simplify right side
    155.68x = 21,396.69
  5. Step 5: Solve for x
    x = 21,396.69/155.68
  6. Step 6: Final answer
    x = 137.44

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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.