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Finding the Fourth Proportional to 105.24, 145.19 and 65.88

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Solution

The fourth proportional to 105.24, 145.19 and 65.88 is: 90.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 145.19 = 65.88 : x
  2. Step 2: Convert to fraction form
    105.24/145.19 = 65.88/x
  3. Step 3: Cross multiply
    105.24x = 145.19 × 65.88
  4. Step 4: Simplify right side
    105.24x = 9,564.39
  5. Step 5: Solve for x
    x = 9,564.39/105.24
  6. Step 6: Final answer
    x = 90.89

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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.