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Finding the Fourth Proportional to 105.36, 145.32 and 76.28

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Solution

The fourth proportional to 105.36, 145.32 and 76.28 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 145.32 = 76.28 : x
  2. Step 2: Convert to fraction form
    105.36/145.32 = 76.28/x
  3. Step 3: Cross multiply
    105.36x = 145.32 × 76.28
  4. Step 4: Simplify right side
    105.36x = 11,085.01
  5. Step 5: Solve for x
    x = 11,085.01/105.36
  6. Step 6: Final answer
    x = 105.21

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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.