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Finding the Fourth Proportional to 30.84, 45.95 and 29

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Solution

The fourth proportional to 30.84, 45.95 and 29 is: 43.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 45.95 = 29 : x
  2. Step 2: Convert to fraction form
    30.84/45.95 = 29/x
  3. Step 3: Cross multiply
    30.84x = 45.95 × 29
  4. Step 4: Simplify right side
    30.84x = 1,332.55
  5. Step 5: Solve for x
    x = 1,332.55/30.84
  6. Step 6: Final answer
    x = 43.21

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