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Finding the Fourth Proportional to 105.32, 145.30 and 61.64

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Solution

The fourth proportional to 105.32, 145.30 and 61.64 is: 85.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.32 : 145.30 = 61.64 : x
  2. Step 2: Convert to fraction form
    105.32/145.30 = 61.64/x
  3. Step 3: Cross multiply
    105.32x = 145.30 × 61.64
  4. Step 4: Simplify right side
    105.32x = 8,956.66
  5. Step 5: Solve for x
    x = 8,956.66/105.32
  6. Step 6: Final answer
    x = 85.05

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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.