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Finding the Fourth Proportional to 130.49, 180.08 and 78.02

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Solution

The fourth proportional to 130.49, 180.08 and 78.02 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.49 : 180.08 = 78.02 : x
  2. Step 2: Convert to fraction form
    130.49/180.08 = 78.02/x
  3. Step 3: Cross multiply
    130.49x = 180.08 × 78.02
  4. Step 4: Simplify right side
    130.49x = 14,048.55
  5. Step 5: Solve for x
    x = 14,048.55/130.49
  6. Step 6: Final answer
    x = 107.66

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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.