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Finding the Fourth Proportional to 102.40, 153.16 and 91.66

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Solution

The fourth proportional to 102.40, 153.16 and 91.66 is: 137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 153.16 = 91.66 : x
  2. Step 2: Convert to fraction form
    102.40/153.16 = 91.66/x
  3. Step 3: Cross multiply
    102.40x = 153.16 × 91.66
  4. Step 4: Simplify right side
    102.40x = 14,038.65
  5. Step 5: Solve for x
    x = 14,038.65/102.40
  6. Step 6: Final answer
    x = 137.10

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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.