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Finding the Fourth Proportional to 109.79, 151.49 and 65.53

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Solution

The fourth proportional to 109.79, 151.49 and 65.53 is: 90.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.79 : 151.49 = 65.53 : x
  2. Step 2: Convert to fraction form
    109.79/151.49 = 65.53/x
  3. Step 3: Cross multiply
    109.79x = 151.49 × 65.53
  4. Step 4: Simplify right side
    109.79x = 9,927.14
  5. Step 5: Solve for x
    x = 9,927.14/109.79
  6. Step 6: Final answer
    x = 90.42

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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.