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Finding the Fourth Proportional to 105.64, 145.56 and 101.86

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Solution

The fourth proportional to 105.64, 145.56 and 101.86 is: 140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 145.56 = 101.86 : x
  2. Step 2: Convert to fraction form
    105.64/145.56 = 101.86/x
  3. Step 3: Cross multiply
    105.64x = 145.56 × 101.86
  4. Step 4: Simplify right side
    105.64x = 14,826.74
  5. Step 5: Solve for x
    x = 14,826.74/105.64
  6. Step 6: Final answer
    x = 140.35

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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.