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Finding the Fourth Proportional to 105.76, 145.32 and 88.48

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Solution

The fourth proportional to 105.76, 145.32 and 88.48 is: 121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 145.32 = 88.48 : x
  2. Step 2: Convert to fraction form
    105.76/145.32 = 88.48/x
  3. Step 3: Cross multiply
    105.76x = 145.32 × 88.48
  4. Step 4: Simplify right side
    105.76x = 12,857.91
  5. Step 5: Solve for x
    x = 12,857.91/105.76
  6. Step 6: Final answer
    x = 121.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.