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Finding the Fourth Proportional to 132.61, 182.86 and 90.60

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Solution

The fourth proportional to 132.61, 182.86 and 90.60 is: 124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.61 : 182.86 = 90.60 : x
  2. Step 2: Convert to fraction form
    132.61/182.86 = 90.60/x
  3. Step 3: Cross multiply
    132.61x = 182.86 × 90.60
  4. Step 4: Simplify right side
    132.61x = 16,567.91
  5. Step 5: Solve for x
    x = 16,567.91/132.61
  6. Step 6: Final answer
    x = 124.94

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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.