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Finding the Fourth Proportional to 105.76, 145.68 and 89.28

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Solution

The fourth proportional to 105.76, 145.68 and 89.28 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 145.68 = 89.28 : x
  2. Step 2: Convert to fraction form
    105.76/145.68 = 89.28/x
  3. Step 3: Cross multiply
    105.76x = 145.68 × 89.28
  4. Step 4: Simplify right side
    105.76x = 13,006.31
  5. Step 5: Solve for x
    x = 13,006.31/105.76
  6. Step 6: Final answer
    x = 122.98

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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.