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Finding the Fourth Proportional to 108.90, 150.23 and 65.23

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Solution

The fourth proportional to 108.90, 150.23 and 65.23 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.90 : 150.23 = 65.23 : x
  2. Step 2: Convert to fraction form
    108.90/150.23 = 65.23/x
  3. Step 3: Cross multiply
    108.90x = 150.23 × 65.23
  4. Step 4: Simplify right side
    108.90x = 9,799.50
  5. Step 5: Solve for x
    x = 9,799.50/108.90
  6. Step 6: Final answer
    x = 89.99

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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.