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Finding the Fourth Proportional to 114.07, 157.35 and 76.74

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Solution

The fourth proportional to 114.07, 157.35 and 76.74 is: 105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.07 : 157.35 = 76.74 : x
  2. Step 2: Convert to fraction form
    114.07/157.35 = 76.74/x
  3. Step 3: Cross multiply
    114.07x = 157.35 × 76.74
  4. Step 4: Simplify right side
    114.07x = 12,075.04
  5. Step 5: Solve for x
    x = 12,075.04/114.07
  6. Step 6: Final answer
    x = 105.86

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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.