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Finding the Fourth Proportional to 101.60, 151.64 and 95.52

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Solution

The fourth proportional to 101.60, 151.64 and 95.52 is: 142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 151.64 = 95.52 : x
  2. Step 2: Convert to fraction form
    101.60/151.64 = 95.52/x
  3. Step 3: Cross multiply
    101.60x = 151.64 × 95.52
  4. Step 4: Simplify right side
    101.60x = 14,484.65
  5. Step 5: Solve for x
    x = 14,484.65/101.60
  6. Step 6: Final answer
    x = 142.57

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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.