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Finding the Fourth Proportional to 108.84, 150 and 100.57

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Solution

The fourth proportional to 108.84, 150 and 100.57 is: 138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 150 = 100.57 : x
  2. Step 2: Convert to fraction form
    108.84/150 = 100.57/x
  3. Step 3: Cross multiply
    108.84x = 150 × 100.57
  4. Step 4: Simplify right side
    108.84x = 15,085.50
  5. Step 5: Solve for x
    x = 15,085.50/108.84
  6. Step 6: Final answer
    x = 138.60

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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.