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Finding the Fourth Proportional to 108.64, 149.59 and 99.93

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Solution

The fourth proportional to 108.64, 149.59 and 99.93 is: 137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 149.59 = 99.93 : x
  2. Step 2: Convert to fraction form
    108.64/149.59 = 99.93/x
  3. Step 3: Cross multiply
    108.64x = 149.59 × 99.93
  4. Step 4: Simplify right side
    108.64x = 14,948.59
  5. Step 5: Solve for x
    x = 14,948.59/108.64
  6. Step 6: Final answer
    x = 137.60

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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.