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Finding the Fourth Proportional to 102.34, 153.75 and 70.42

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Solution

The fourth proportional to 102.34, 153.75 and 70.42 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.34 : 153.75 = 70.42 : x
  2. Step 2: Convert to fraction form
    102.34/153.75 = 70.42/x
  3. Step 3: Cross multiply
    102.34x = 153.75 × 70.42
  4. Step 4: Simplify right side
    102.34x = 10,827.08
  5. Step 5: Solve for x
    x = 10,827.08/102.34
  6. Step 6: Final answer
    x = 105.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.