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Finding the Fourth Proportional to 130.77, 180.42 and 75.50

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Solution

The fourth proportional to 130.77, 180.42 and 75.50 is: 104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.77 : 180.42 = 75.50 : x
  2. Step 2: Convert to fraction form
    130.77/180.42 = 75.50/x
  3. Step 3: Cross multiply
    130.77x = 180.42 × 75.50
  4. Step 4: Simplify right side
    130.77x = 13,621.12
  5. Step 5: Solve for x
    x = 13,621.12/130.77
  6. Step 6: Final answer
    x = 104.16

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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.