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Finding the Fourth Proportional to 130.10, 179.47 and 95.11

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Solution

The fourth proportional to 130.10, 179.47 and 95.11 is: 131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.10 : 179.47 = 95.11 : x
  2. Step 2: Convert to fraction form
    130.10/179.47 = 95.11/x
  3. Step 3: Cross multiply
    130.10x = 179.47 × 95.11
  4. Step 4: Simplify right side
    130.10x = 17,068.71
  5. Step 5: Solve for x
    x = 17,068.71/130.10
  6. Step 6: Final answer
    x = 131.20

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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.