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Finding the Fourth Proportional to 130.10, 179.43 and 88.58

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Solution

The fourth proportional to 130.10, 179.43 and 88.58 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.10 : 179.43 = 88.58 : x
  2. Step 2: Convert to fraction form
    130.10/179.43 = 88.58/x
  3. Step 3: Cross multiply
    130.10x = 179.43 × 88.58
  4. Step 4: Simplify right side
    130.10x = 15,893.01
  5. Step 5: Solve for x
    x = 15,893.01/130.10
  6. Step 6: Final answer
    x = 122.16

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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.