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Finding the Fourth Proportional to 184.32, 254.35 and 105.64

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Solution

The fourth proportional to 184.32, 254.35 and 105.64 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 254.35 = 105.64 : x
  2. Step 2: Convert to fraction form
    184.32/254.35 = 105.64/x
  3. Step 3: Cross multiply
    184.32x = 254.35 × 105.64
  4. Step 4: Simplify right side
    184.32x = 26,868.00
  5. Step 5: Solve for x
    x = 26,868.00/184.32
  6. Step 6: Final answer
    x = 145.77

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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.