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Finding the Fourth Proportional to 102.09, 152.45 and 90.55

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Solution

The fourth proportional to 102.09, 152.45 and 90.55 is: 135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.09 : 152.45 = 90.55 : x
  2. Step 2: Convert to fraction form
    102.09/152.45 = 90.55/x
  3. Step 3: Cross multiply
    102.09x = 152.45 × 90.55
  4. Step 4: Simplify right side
    102.09x = 13,804.42
  5. Step 5: Solve for x
    x = 13,804.42/102.09
  6. Step 6: Final answer
    x = 135.21

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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.