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Finding the Fourth Proportional to 153.64, 212.08 and 114.88

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Solution

The fourth proportional to 153.64, 212.08 and 114.88 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.64 : 212.08 = 114.88 : x
  2. Step 2: Convert to fraction form
    153.64/212.08 = 114.88/x
  3. Step 3: Cross multiply
    153.64x = 212.08 × 114.88
  4. Step 4: Simplify right side
    153.64x = 24,363.75
  5. Step 5: Solve for x
    x = 24,363.75/153.64
  6. Step 6: Final answer
    x = 158.58

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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.