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Finding the Fourth Proportional to 102.88, 153.59 and 90.16

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Solution

The fourth proportional to 102.88, 153.59 and 90.16 is: 134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 153.59 = 90.16 : x
  2. Step 2: Convert to fraction form
    102.88/153.59 = 90.16/x
  3. Step 3: Cross multiply
    102.88x = 153.59 × 90.16
  4. Step 4: Simplify right side
    102.88x = 13,847.67
  5. Step 5: Solve for x
    x = 13,847.67/102.88
  6. Step 6: Final answer
    x = 134.60

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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.