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Finding the Fourth Proportional to 108.98, 150.34 and 65.24

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Solution

The fourth proportional to 108.98, 150.34 and 65.24 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.98 : 150.34 = 65.24 : x
  2. Step 2: Convert to fraction form
    108.98/150.34 = 65.24/x
  3. Step 3: Cross multiply
    108.98x = 150.34 × 65.24
  4. Step 4: Simplify right side
    108.98x = 9,807.10
  5. Step 5: Solve for x
    x = 9,807.10/108.98
  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.