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Finding the Fourth Proportional to 105.83, 145.98 and 62.16

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Solution

The fourth proportional to 105.83, 145.98 and 62.16 is: 85.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 145.98 = 62.16 : x
  2. Step 2: Convert to fraction form
    105.83/145.98 = 62.16/x
  3. Step 3: Cross multiply
    105.83x = 145.98 × 62.16
  4. Step 4: Simplify right side
    105.83x = 9,074.12
  5. Step 5: Solve for x
    x = 9,074.12/105.83
  6. Step 6: Final answer
    x = 85.74

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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.