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Finding the Fourth Proportional to 114.34, 157.76 and 65.25

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Solution

The fourth proportional to 114.34, 157.76 and 65.25 is: 90.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 157.76 = 65.25 : x
  2. Step 2: Convert to fraction form
    114.34/157.76 = 65.25/x
  3. Step 3: Cross multiply
    114.34x = 157.76 × 65.25
  4. Step 4: Simplify right side
    114.34x = 10,292.72
  5. Step 5: Solve for x
    x = 10,292.72/114.34
  6. Step 6: Final answer
    x = 90.02

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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.