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Finding the Fourth Proportional to 108.77, 162.99 and 106.16

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Solution

The fourth proportional to 108.77, 162.99 and 106.16 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.77 : 162.99 = 106.16 : x
  2. Step 2: Convert to fraction form
    108.77/162.99 = 106.16/x
  3. Step 3: Cross multiply
    108.77x = 162.99 × 106.16
  4. Step 4: Simplify right side
    108.77x = 17,303.02
  5. Step 5: Solve for x
    x = 17,303.02/108.77
  6. Step 6: Final answer
    x = 159.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.