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Finding the Fourth Proportional to 102.51, 152.82 and 97.38

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Solution

The fourth proportional to 102.51, 152.82 and 97.38 is: 145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.51 : 152.82 = 97.38 : x
  2. Step 2: Convert to fraction form
    102.51/152.82 = 97.38/x
  3. Step 3: Cross multiply
    102.51x = 152.82 × 97.38
  4. Step 4: Simplify right side
    102.51x = 14,881.61
  5. Step 5: Solve for x
    x = 14,881.61/102.51
  6. Step 6: Final answer
    x = 145.17

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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.