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Finding the Fourth Proportional to 130.15, 179.60 and 74.13

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Solution

The fourth proportional to 130.15, 179.60 and 74.13 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.15 : 179.60 = 74.13 : x
  2. Step 2: Convert to fraction form
    130.15/179.60 = 74.13/x
  3. Step 3: Cross multiply
    130.15x = 179.60 × 74.13
  4. Step 4: Simplify right side
    130.15x = 13,313.93
  5. Step 5: Solve for x
    x = 13,313.93/130.15
  6. Step 6: Final answer
    x = 102.30

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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.