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Finding the Fourth Proportional to 114.71, 157.95 and 112.16

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Solution

The fourth proportional to 114.71, 157.95 and 112.16 is: 154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 157.95 = 112.16 : x
  2. Step 2: Convert to fraction form
    114.71/157.95 = 112.16/x
  3. Step 3: Cross multiply
    114.71x = 157.95 × 112.16
  4. Step 4: Simplify right side
    114.71x = 17,714.88
  5. Step 5: Solve for x
    x = 17,714.88/114.71
  6. Step 6: Final answer
    x = 154.44

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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.