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Finding the Fourth Proportional to 155.88, 215.02 and 100.53

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Solution

The fourth proportional to 155.88, 215.02 and 100.53 is: 138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 215.02 = 100.53 : x
  2. Step 2: Convert to fraction form
    155.88/215.02 = 100.53/x
  3. Step 3: Cross multiply
    155.88x = 215.02 × 100.53
  4. Step 4: Simplify right side
    155.88x = 21,615.96
  5. Step 5: Solve for x
    x = 21,615.96/155.88
  6. Step 6: Final answer
    x = 138.67

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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.