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Finding the Fourth Proportional to 153.06, 211.40 and 97.84

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Solution

The fourth proportional to 153.06, 211.40 and 97.84 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.06 : 211.40 = 97.84 : x
  2. Step 2: Convert to fraction form
    153.06/211.40 = 97.84/x
  3. Step 3: Cross multiply
    153.06x = 211.40 × 97.84
  4. Step 4: Simplify right side
    153.06x = 20,683.38
  5. Step 5: Solve for x
    x = 20,683.38/153.06
  6. Step 6: Final answer
    x = 135.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.