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Finding the Fourth Proportional to 155.19, 214.16 and 92.99

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Solution

The fourth proportional to 155.19, 214.16 and 92.99 is: 128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.19 : 214.16 = 92.99 : x
  2. Step 2: Convert to fraction form
    155.19/214.16 = 92.99/x
  3. Step 3: Cross multiply
    155.19x = 214.16 × 92.99
  4. Step 4: Simplify right side
    155.19x = 19,914.13
  5. Step 5: Solve for x
    x = 19,914.13/155.19
  6. Step 6: Final answer
    x = 128.32

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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.