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Finding the Fourth Proportional to 102.24, 152.16 and 101.64

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Solution

The fourth proportional to 102.24, 152.16 and 101.64 is: 151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 152.16 = 101.64 : x
  2. Step 2: Convert to fraction form
    102.24/152.16 = 101.64/x
  3. Step 3: Cross multiply
    102.24x = 152.16 × 101.64
  4. Step 4: Simplify right side
    102.24x = 15,465.54
  5. Step 5: Solve for x
    x = 15,465.54/102.24
  6. Step 6: Final answer
    x = 151.27

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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.