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Finding the Fourth Proportional to 102.74, 153.32 and 90.59

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Solution

The fourth proportional to 102.74, 153.32 and 90.59 is: 135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.74 : 153.32 = 90.59 : x
  2. Step 2: Convert to fraction form
    102.74/153.32 = 90.59/x
  3. Step 3: Cross multiply
    102.74x = 153.32 × 90.59
  4. Step 4: Simplify right side
    102.74x = 13,888.04
  5. Step 5: Solve for x
    x = 13,888.04/102.74
  6. Step 6: Final answer
    x = 135.18

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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.