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Finding the Fourth Proportional to 155.09, 214.07 and 102.64

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Solution

The fourth proportional to 155.09, 214.07 and 102.64 is: 141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.09 : 214.07 = 102.64 : x
  2. Step 2: Convert to fraction form
    155.09/214.07 = 102.64/x
  3. Step 3: Cross multiply
    155.09x = 214.07 × 102.64
  4. Step 4: Simplify right side
    155.09x = 21,972.14
  5. Step 5: Solve for x
    x = 21,972.14/155.09
  6. Step 6: Final answer
    x = 141.67

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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.