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Finding the Fourth Proportional to 130.47, 179.65 and 112.95

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Solution

The fourth proportional to 130.47, 179.65 and 112.95 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.47 : 179.65 = 112.95 : x
  2. Step 2: Convert to fraction form
    130.47/179.65 = 112.95/x
  3. Step 3: Cross multiply
    130.47x = 179.65 × 112.95
  4. Step 4: Simplify right side
    130.47x = 20,291.47
  5. Step 5: Solve for x
    x = 20,291.47/130.47
  6. Step 6: Final answer
    x = 155.53

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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.