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Finding the Fourth Proportional to 107.47, 160.16 and 102.88

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Solution

The fourth proportional to 107.47, 160.16 and 102.88 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.47 : 160.16 = 102.88 : x
  2. Step 2: Convert to fraction form
    107.47/160.16 = 102.88/x
  3. Step 3: Cross multiply
    107.47x = 160.16 × 102.88
  4. Step 4: Simplify right side
    107.47x = 16,477.26
  5. Step 5: Solve for x
    x = 16,477.26/107.47
  6. Step 6: Final answer
    x = 153.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.