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Finding the Fourth Proportional to 114.08, 156.94 and 94.64

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Solution

The fourth proportional to 114.08, 156.94 and 94.64 is: 130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.08 : 156.94 = 94.64 : x
  2. Step 2: Convert to fraction form
    114.08/156.94 = 94.64/x
  3. Step 3: Cross multiply
    114.08x = 156.94 × 94.64
  4. Step 4: Simplify right side
    114.08x = 14,851.78
  5. Step 5: Solve for x
    x = 14,851.78/114.08
  6. Step 6: Final answer
    x = 130.19

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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.