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Finding the Fourth Proportional to 114.99, 171.64 and 101.47

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Solution

The fourth proportional to 114.99, 171.64 and 101.47 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.99 : 171.64 = 101.47 : x
  2. Step 2: Convert to fraction form
    114.99/171.64 = 101.47/x
  3. Step 3: Cross multiply
    114.99x = 171.64 × 101.47
  4. Step 4: Simplify right side
    114.99x = 17,415.76
  5. Step 5: Solve for x
    x = 17,415.76/114.99
  6. Step 6: Final answer
    x = 151.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.