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Finding the Fourth Proportional to 130.64, 180.25 and 75.35

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Solution

The fourth proportional to 130.64, 180.25 and 75.35 is: 103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 180.25 = 75.35 : x
  2. Step 2: Convert to fraction form
    130.64/180.25 = 75.35/x
  3. Step 3: Cross multiply
    130.64x = 180.25 × 75.35
  4. Step 4: Simplify right side
    130.64x = 13,581.84
  5. Step 5: Solve for x
    x = 13,581.84/130.64
  6. Step 6: Final answer
    x = 103.96

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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.