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Finding the Fourth Proportional to 105.78, 145.89 and 89.46

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Solution

The fourth proportional to 105.78, 145.89 and 89.46 is: 123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.78 : 145.89 = 89.46 : x
  2. Step 2: Convert to fraction form
    105.78/145.89 = 89.46/x
  3. Step 3: Cross multiply
    105.78x = 145.89 × 89.46
  4. Step 4: Simplify right side
    105.78x = 13,051.32
  5. Step 5: Solve for x
    x = 13,051.32/105.78
  6. Step 6: Final answer
    x = 123.38

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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.