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Finding the Fourth Proportional to 102.67, 153.80 and 94.16

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Solution

The fourth proportional to 102.67, 153.80 and 94.16 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 153.80 = 94.16 : x
  2. Step 2: Convert to fraction form
    102.67/153.80 = 94.16/x
  3. Step 3: Cross multiply
    102.67x = 153.80 × 94.16
  4. Step 4: Simplify right side
    102.67x = 14,482.07
  5. Step 5: Solve for x
    x = 14,482.07/102.67
  6. Step 6: Final answer
    x = 141.06

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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.