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Finding the Fourth Proportional to 109.23, 150.75 and 64.98

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Solution

The fourth proportional to 109.23, 150.75 and 64.98 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.23 : 150.75 = 64.98 : x
  2. Step 2: Convert to fraction form
    109.23/150.75 = 64.98/x
  3. Step 3: Cross multiply
    109.23x = 150.75 × 64.98
  4. Step 4: Simplify right side
    109.23x = 9,795.74
  5. Step 5: Solve for x
    x = 9,795.74/109.23
  6. Step 6: Final answer
    x = 89.68

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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.