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Finding the Fourth Proportional to 114.67, 158.23 and 65.53

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Solution

The fourth proportional to 114.67, 158.23 and 65.53 is: 90.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.67 : 158.23 = 65.53 : x
  2. Step 2: Convert to fraction form
    114.67/158.23 = 65.53/x
  3. Step 3: Cross multiply
    114.67x = 158.23 × 65.53
  4. Step 4: Simplify right side
    114.67x = 10,368.81
  5. Step 5: Solve for x
    x = 10,368.81/114.67
  6. Step 6: Final answer
    x = 90.42

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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.