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Finding the Fourth Proportional to 105.47, 145.56 and 61.83

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Solution

The fourth proportional to 105.47, 145.56 and 61.83 is: 85.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 145.56 = 61.83 : x
  2. Step 2: Convert to fraction form
    105.47/145.56 = 61.83/x
  3. Step 3: Cross multiply
    105.47x = 145.56 × 61.83
  4. Step 4: Simplify right side
    105.47x = 9,000.21
  5. Step 5: Solve for x
    x = 9,000.21/105.47
  6. Step 6: Final answer
    x = 85.34

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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.