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Finding the Fourth Proportional to 102.84, 153.52 and 90.70

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Solution

The fourth proportional to 102.84, 153.52 and 90.70 is: 135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 153.52 = 90.70 : x
  2. Step 2: Convert to fraction form
    102.84/153.52 = 90.70/x
  3. Step 3: Cross multiply
    102.84x = 153.52 × 90.70
  4. Step 4: Simplify right side
    102.84x = 13,924.26
  5. Step 5: Solve for x
    x = 13,924.26/102.84
  6. Step 6: Final answer
    x = 135.40

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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.