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Finding the Fourth Proportional to 114.01, 157.40 and 86.16

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Solution

The fourth proportional to 114.01, 157.40 and 86.16 is: 118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.01 : 157.40 = 86.16 : x
  2. Step 2: Convert to fraction form
    114.01/157.40 = 86.16/x
  3. Step 3: Cross multiply
    114.01x = 157.40 × 86.16
  4. Step 4: Simplify right side
    114.01x = 13,561.58
  5. Step 5: Solve for x
    x = 13,561.58/114.01
  6. Step 6: Final answer
    x = 118.95

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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.