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Finding the Fourth Proportional to 74.29, 102.58 and 48.08

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Solution

The fourth proportional to 74.29, 102.58 and 48.08 is: 66.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.29 : 102.58 = 48.08 : x
  2. Step 2: Convert to fraction form
    74.29/102.58 = 48.08/x
  3. Step 3: Cross multiply
    74.29x = 102.58 × 48.08
  4. Step 4: Simplify right side
    74.29x = 4,931.53
  5. Step 5: Solve for x
    x = 4,931.53/74.29
  6. Step 6: Final answer
    x = 66.38

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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.