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Finding the Fourth Proportional to 114.71, 156.18 and 114.35

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Solution

The fourth proportional to 114.71, 156.18 and 114.35 is: 155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 156.18 = 114.35 : x
  2. Step 2: Convert to fraction form
    114.71/156.18 = 114.35/x
  3. Step 3: Cross multiply
    114.71x = 156.18 × 114.35
  4. Step 4: Simplify right side
    114.71x = 17,859.18
  5. Step 5: Solve for x
    x = 17,859.18/114.71
  6. Step 6: Final answer
    x = 155.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.