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Finding the Fourth Proportional to 102.04, 152.27 and 91.84

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Solution

The fourth proportional to 102.04, 152.27 and 91.84 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 152.27 = 91.84 : x
  2. Step 2: Convert to fraction form
    102.04/152.27 = 91.84/x
  3. Step 3: Cross multiply
    102.04x = 152.27 × 91.84
  4. Step 4: Simplify right side
    102.04x = 13,984.48
  5. Step 5: Solve for x
    x = 13,984.48/102.04
  6. Step 6: Final answer
    x = 137.05

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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.