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Finding the Fourth Proportional to 105.63, 145.78 and 59.02

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Solution

The fourth proportional to 105.63, 145.78 and 59.02 is: 81.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 145.78 = 59.02 : x
  2. Step 2: Convert to fraction form
    105.63/145.78 = 59.02/x
  3. Step 3: Cross multiply
    105.63x = 145.78 × 59.02
  4. Step 4: Simplify right side
    105.63x = 8,603.94
  5. Step 5: Solve for x
    x = 8,603.94/105.63
  6. Step 6: Final answer
    x = 81.45

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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.