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Finding the Fourth Proportional to 105.60, 145.68 and 76.50

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Solution

The fourth proportional to 105.60, 145.68 and 76.50 is: 105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 145.68 = 76.50 : x
  2. Step 2: Convert to fraction form
    105.60/145.68 = 76.50/x
  3. Step 3: Cross multiply
    105.60x = 145.68 × 76.50
  4. Step 4: Simplify right side
    105.60x = 11,144.52
  5. Step 5: Solve for x
    x = 11,144.52/105.60
  6. Step 6: Final answer
    x = 105.54

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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.